Question

A. Choose the following alternative hypothesis that would be appropriate for a study where the researchers wish to examine whether the level of radioactivity (quantitative measure per cubic meter) in the soil is greater at the first than at the second for two sites being cleaned up by the EPA's superfund. 1.Ha: mu1 - mu2 is not equal to zero 2.Ha: p1 - p2 is not equal to zero 3.Ha: mu1 - mu2 is less than zero 4.Ha: p1 - p2 is less than zero 5.Ha: mu1 - mu2 is greater than zero 6.Ha: p1 - p2 is less than or equal to zero 7.none of these B. Calculate the point estimate of the difference between the means of two populations where the mean from the sample selected from the first population is 79.86 and the mean from the sample selected from the second population is 98.87. Enter your response to two decimals (i.e. 32.12). Be sure to include the negative sign if appropriate. C. Determine the degrees of freedom that would be used to identify the critical value of t that would be used in developing a confidence interval of the difference between two population means where the sample size is 35 from the first population and the sample size is 24 from the second population. We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. D. Determine the positive critical value of the test statistic t that would be used in testing the null hypothesis (Ho: mu1-mu2 = 0) where the sample size from the first population is 22, the sample size from the second is 29, and alpha = 0.07. Enter your response to three decimal places (i.e. 2.123). E. Calculate the pooled estimate of the standard deviation if the sample variance (standard deviation squared) from the first population is 57.453 and the sample size is 32, the sample variance from the second population is 90.189 and the sample size is 32. Enter your answer to three decimal places (i.e. 1.123). We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. F. Calculate the estimate of the standard error if the sample variance for a sample from the first population is 114.32 with a sample size of 38 and the sample variance for a sample from the second population is 132.83 with a sample size of 35. Enter your answer to two decimal places (i.e. 1.12). We are assuming the populations are normally distributed, that the variances for both populations are equal, and that the samples are independent. G. Calculate the upper value (limit) in the confidence interval estimate of the difference between the means of two independent populations where the mean is 57.8 for a sample of 39 from the first population with a corresponding sample standard deviation of 10.916, the mean is 57.4 from a sample of 20 from the second population with a corresponding sample standard deviation of 10.083, and the level of significance (alpha) is 0.04. Use the critical value of t (use Excel's TINV and ROUND functions), to four decimals, and enter your response (final answer) to two decimals (i.e. -2.12).We are assuming the populations are normally distributed, the two population variances are equal, and that the samples are independent. H. Calculate the value of the test statistic "t" for two independent samples where the mean (xbar1) for the first population's sample is 118.24 with a standard deviation (s1) of 11.4 where the sample size (n1) is 38, the mean for the second (xbar2) is 118.8 with a standard deviation (s) of 14.64 and sample size (n2) 39. Enter your answer to two decimal places (i.e. 1.12). Use formula 10.8 and assume the populations are normally distributed with equal variances and the samples are independent. I. What is the p-value for a two-tail t test of two population means where the sample size for the first is 21, 24 for the second, and the calculated value of t is 0.16. Enter your response to three decimal places (i.e. 0.123) (hint: use TDIST and check to see that your answer is reasonable using the t-table in the textbook). We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. J. Calculate the paired difference (d) where the first value (x1) in the paired observation is 90.13 and the second (x2) is 91.02. Enter your answer to two decimal places (i.e. -1.12). Be sure to enter the negative sign, if appropriate, and do not enter a positive sign as the system may not grade your response properly. K. Which of the following is the best response given that the lower limit of a confidence interval of the difference between the means of two populations is -2.6 and the upper limit is 1.3. 1.We are confident the first population's mean is at least 1.3 less than the second population's mean. 2.We are confident the second population's mean is at least 2.6 more than the first population's mean. 3.We are confident the first population's mean is equal to the second population's mean. 4.We do not have sufficient evidence to conclude the means for the two populations differ. 5.none of these L. Choose the following that is the most correct answer if the value of alpha is 0.05 and the p-value is 0.10 1.Reject the null hypothesis (Ho:) 2.Fail to reject (do not reject/accept) the null hypothesis (Ho:) 3.There is not enough information to make a decision 4.none of these M. Calculate the estimate of the standard error of differences for matched (paired) data where the standard deviation for the differences is 2.15 for a sample with 22 paired observations. Enter your response to two decimals (i.e. -1.12). N. Calculate the value of the test statistic t for matched (paired) data where the average of the differences for a sample with 29 paired observations is 4.2 and the standard deviation of the differences is 3.5. Enter your response to two decimals (i.e. -1.12). O. Determine the positive critical value of z that would be used in developing a confidence interval of the difference between two population proportions, for large independent samples where the desired level of significance (alpha) is 0.02. Use Excel's NORMSINV function, check it against the values that would be nearest in the standard normal distribution table, and enter your response to two decimal places (i.e. 2.12). P. Calculate the point estimator of the difference in two population proportions where 575 in a sample of 1,017 from the first population exhibited the characteristic of interest and 512 in a sample of 1,588 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. -0.12). Be sure to enter the negative sign, if appropriate, and do not enter a positive sign as the system may not grade your response properly. Q. Calculate the upper value (limit) for the interval estimate of the difference between the proportions of two populations where 1,631 in a sample of 3,805 from the first population exhibited the characteristic of interest and 1,502 in a sample of 2,256 from the second population exhibited the characteristic of interest. Use alpha=0.08. Use Excel's "normsinv" function to calculate the critical value of z and round it to four decimals. Then calculate your response without rounding any other intermediate calculations and enter your answer to two decimal places (i.e. 32.12). Be sure to include the negative sign if appropriate. R. Calculate the pooled estimator of the population proportion where 533 in a sample of 1,966 from the first population exhibited the characteristic of interest and 584 in a sample of 1,829 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. 0.12). S. Calculate the standard error that would be used in conducting an hypothesis test for the difference in two population proportions where 538 in a sample of 1,750 from the first population exhibited the characteristic of interest and 508 in a sample of 1,464 from the second population exhibited the characteristic of interest. Enter your response to three decimals (i.e. 0.123). T. Assuming the null hypothesis is Ho:p1-p2=0, calculate the value of the test statistic z where 281 in a sample of 3,731 from the first population exhibited the characteristic of interest and 295 in a sample of 3,380 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. 1.12). Be sure to include the negative sign if appropriate.

Name: a choose the following alternative hypothesis that would be appropriate for a study where the researchers wish to examine whether the level of radioactivity quantitative measure per cubic me 75137
Uploaded: 2023-08-04T16:10:00-08:00
Duration: 5 min 49 s
Channel: Sheryl Ezze
Description: a choose the following alternative hypothesis that would be appropriate for a study where the researchers wish to examine whether the level of radioactivity quantitative measure per cubic me 75137

          A.    Choose the following alternative hypothesis
that would be appropriate for a study where the researchers wish to
examine whether the level of radioactivity (quantitative measure
per cubic meter) in the soil is greater at the first than at the
second for two sites being cleaned up by the EPA's superfund.
1.Ha: mu1 - mu2 is not equal to zero
2.Ha: p1 - p2 is not equal to zero
3.Ha: mu1 - mu2 is less than zero
4.Ha: p1 - p2 is less than zero
5.Ha: mu1 - mu2 is greater than zero
6.Ha: p1 - p2 is less than or equal to zero
7.none of these
B.    Calculate the point estimate of the
difference between the means of two populations where the mean from
the sample selected from the first population is 79.86 and the mean
from the sample selected from the second population is 98.87. Enter
your response to two decimals (i.e. 32.12). Be sure to include the
negative sign if appropriate.
C.    Determine the degrees of freedom that would
be used to identify the critical value of t that would be used in
developing a confidence interval of the difference between two
population means where the sample size is 35 from the first
population and the sample size is 24 from the second
population.
We are assuming the populations are normally distributed, that
they have equal variances,      and that the
samples are independent.
D.    Determine the positive critical value of
the test statistic t that would be used in testing the null
hypothesis (Ho: mu1-mu2 = 0) where the sample size from the first
population is 22, the sample size from the second is 29, and alpha
= 0.07. Enter your response to three decimal places (i.e.
2.123).
E.    Calculate the pooled estimate of the
standard deviation if the sample variance (standard deviation
squared) from the first population is 57.453 and the sample size is
32, the sample variance from the second population is 90.189 and
the sample size is 32. Enter your answer to three decimal places
(i.e. 1.123). We are assuming the populations are normally
distributed, that they have equal variances, and that the samples
are independent.
F.     Calculate the estimate of the
standard error if the sample variance for a sample from the first
population is 114.32 with a sample size of 38 and the sample
variance for a sample from the second population is 132.83 with a
sample size of 35. Enter your answer to two decimal places (i.e.
1.12). We are assuming the populations are normally distributed,
that the variances for both populations are equal, and that the
samples are independent.
G.    Calculate the upper value (limit) in the
confidence interval estimate of the difference between the means of
two independent populations where the mean is 57.8 for a sample of
39 from the first population with a corresponding sample standard
deviation of 10.916, the mean is 57.4 from a sample of 20 from the
second population with a corresponding sample standard deviation of
10.083, and the level of significance (alpha) is 0.04. Use the
critical value of t (use Excel's TINV and ROUND functions), to four
decimals, and enter your response (final answer) to two decimals
(i.e. -2.12).We are assuming the populations are normally
distributed, the two population variances are equal, and that the
samples are independent.
H.    Calculate the value of the test statistic
"t" for two independent samples where the mean (xbar1) for the
first population's sample is 118.24 with a standard deviation (s1)
of 11.4 where the sample size (n1) is 38, the mean for the second
(xbar2) is 118.8 with a standard deviation (s) of 14.64 and sample
size (n2) 39. Enter your answer to two decimal places (i.e. 1.12).
Use formula 10.8 and assume the populations are normally
distributed with equal variances and the samples are
independent.
I.      What is the p-value for a
two-tail t test of two population means where the sample size for
the first is 21, 24 for the second, and the calculated value of t
is 0.16. Enter your response to three decimal places (i.e. 0.123)
(hint: use TDIST and check to see that your answer is reasonable
using the t-table in the textbook). We are assuming the populations
are normally distributed, that they have equal variances, and that
the samples are independent.
J.      Calculate the paired difference
(d) where the first value (x1) in the paired observation is 90.13
and the second (x2) is 91.02. Enter your answer to two decimal
places (i.e. -1.12). Be sure to enter the negative sign, if
appropriate, and do not enter a positive sign as the system may not
grade your response properly.
K.    Which of the following is the best response
given that the lower limit of a confidence interval of the
difference between the means of two populations is -2.6 and the
upper limit is 1.3.
1.We are confident the first population's mean is at least 1.3
less than the   second population's mean.
2.We are confident the second population's mean is at least 2.6
more than    the first population's mean.
3.We are confident the first population's mean is equal to the
second population's mean.
4.We do not have sufficient evidence to conclude the means for
the two populations differ.
5.none of these
L. Choose the following that is the most correct answer if the
value of alpha is 0.05 and the p-value is 0.10
1.Reject the null hypothesis (Ho:)
2.Fail to reject (do not reject/accept) the null hypothesis
(Ho:)
                       
3.There is not enough information to make a decision
4.none of these
M.   Calculate the estimate of the standard error of
differences for matched (paired) data where the standard deviation
for the differences is 2.15 for a sample with 22 paired
observations. Enter your response to two decimals (i.e. -1.12).
N.    Calculate the value of the test statistic t
for matched (paired) data where the average of the differences for
a sample with 29 paired observations is 4.2 and the standard
deviation of the differences is 3.5. Enter your response to two
decimals (i.e. -1.12).
O.    Determine the positive critical value of z
that would be used in developing a confidence interval of the
difference between two population proportions, for large
independent samples where the desired level of significance (alpha)
is 0.02. Use Excel's NORMSINV function, check it against the values
that would be nearest in the standard normal distribution table,
and enter your response to two decimal places (i.e. 2.12).
P.     Calculate the point estimator of the
difference in two population proportions where 575 in a sample of
1,017 from the first population exhibited the characteristic of
interest and 512 in a sample of 1,588 from the second population
exhibited the characteristic of interest. Enter your response to
two decimals (i.e. -0.12). Be sure to enter the negative sign, if
appropriate, and do not enter a positive sign as the system may not
grade your response properly.
Q.    Calculate the upper value (limit) for the
interval estimate of the difference between the proportions of two
populations where 1,631 in a sample of 3,805 from the first
population exhibited the characteristic of interest and 1,502 in a
sample of 2,256 from the second population exhibited the
characteristic of interest. Use alpha=0.08. Use Excel's "normsinv"
function to calculate the critical value of z and round it to four
decimals. Then calculate your response without rounding any other
intermediate calculations and enter your answer to two decimal
places (i.e. 32.12). Be sure to include the negative sign if
appropriate.
R.    Calculate the pooled estimator of the
population proportion where 533 in a sample of 1,966 from the first
population exhibited the characteristic of interest and 584 in a
sample of 1,829 from the second population exhibited the
characteristic of interest. Enter your response to two decimals
(i.e. 0.12).
S.     Calculate the standard error that
would be used in conducting an hypothesis test for the difference
in two population proportions where 538 in a sample of 1,750 from
the first population exhibited the characteristic of interest and
508 in a sample of 1,464 from the second population exhibited the
characteristic of interest. Enter your response to three decimals
(i.e. 0.123).
T.    Assuming the null hypothesis is Ho:p1-p2=0,
calculate the value of the test statistic z where 281 in a sample
of 3,731 from the first population exhibited the characteristic of
interest and 295 in a sample of 3,380 from the second population
exhibited the characteristic of interest. Enter your response to
two decimals (i.e. 1.12). Be sure to include the negative sign if
appropriate.

Added by Curtis L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sheryl Ezze

08/04/2023

Step 1

The appropriate alternative hypothesis for this study would be 1. Ha: mu1 - mu2 is not equal to zero. This hypothesis tests whether there is a significant difference in the level of radioactivity between the two sites being cleaned up by the EPA's superfund. B. Show more…

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A. Choose the following alternative hypothesis that would be appropriate for a study where the researchers wish to examine whether the level of radioactivity (quantitative measure per cubic meter) in the soil is greater at the first than at the second for two sites being cleaned up by the EPA's superfund. 1.Ha: mu1 - mu2 is not equal to zero 2.Ha: p1 - p2 is not equal to zero 3.Ha: mu1 - mu2 is less than zero 4.Ha: p1 - p2 is less than zero 5.Ha: mu1 - mu2 is greater than zero 6.Ha: p1 - p2 is less than or equal to zero 7.none of these B. Calculate the point estimate of the difference between the means of two populations where the mean from the sample selected from the first population is 79.86 and the mean from the sample selected from the second population is 98.87. Enter your response to two decimals (i.e. 32.12). Be sure to include the negative sign if appropriate. C. Determine the degrees of freedom that would be used to identify the critical value of t that would be used in developing a confidence interval of the difference between two population means where the sample size is 35 from the first population and the sample size is 24 from the second population. We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. D. Determine the positive critical value of the test statistic t that would be used in testing the null hypothesis (Ho: mu1-mu2 = 0) where the sample size from the first population is 22, the sample size from the second is 29, and alpha = 0.07. Enter your response to three decimal places (i.e. 2.123). E. Calculate the pooled estimate of the standard deviation if the sample variance (standard deviation squared) from the first population is 57.453 and the sample size is 32, the sample variance from the second population is 90.189 and the sample size is 32. Enter your answer to three decimal places (i.e. 1.123). We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. F. Calculate the estimate of the standard error if the sample variance for a sample from the first population is 114.32 with a sample size of 38 and the sample variance for a sample from the second population is 132.83 with a sample size of 35. Enter your answer to two decimal places (i.e. 1.12). We are assuming the populations are normally distributed, that the variances for both populations are equal, and that the samples are independent. G. Calculate the upper value (limit) in the confidence interval estimate of the difference between the means of two independent populations where the mean is 57.8 for a sample of 39 from the first population with a corresponding sample standard deviation of 10.916, the mean is 57.4 from a sample of 20 from the second population with a corresponding sample standard deviation of 10.083, and the level of significance (alpha) is 0.04. Use the critical value of t (use Excel's TINV and ROUND functions), to four decimals, and enter your response (final answer) to two decimals (i.e. -2.12).We are assuming the populations are normally distributed, the two population variances are equal, and that the samples are independent. H. Calculate the value of the test statistic "t" for two independent samples where the mean (xbar1) for the first population's sample is 118.24 with a standard deviation (s1) of 11.4 where the sample size (n1) is 38, the mean for the second (xbar2) is 118.8 with a standard deviation (s) of 14.64 and sample size (n2) 39. Enter your answer to two decimal places (i.e. 1.12). Use formula 10.8 and assume the populations are normally distributed with equal variances and the samples are independent. I. What is the p-value for a two-tail t test of two population means where the sample size for the first is 21, 24 for the second, and the calculated value of t is 0.16. Enter your response to three decimal places (i.e. 0.123) (hint: use TDIST and check to see that your answer is reasonable using the t-table in the textbook). We are assuming the populations are normally distributed, that they have equal variances, and that the samples are independent. J. Calculate the paired difference (d) where the first value (x1) in the paired observation is 90.13 and the second (x2) is 91.02. Enter your answer to two decimal places (i.e. -1.12). Be sure to enter the negative sign, if appropriate, and do not enter a positive sign as the system may not grade your response properly. K. Which of the following is the best response given that the lower limit of a confidence interval of the difference between the means of two populations is -2.6 and the upper limit is 1.3. 1.We are confident the first population's mean is at least 1.3 less than the second population's mean. 2.We are confident the second population's mean is at least 2.6 more than the first population's mean. 3.We are confident the first population's mean is equal to the second population's mean. 4.We do not have sufficient evidence to conclude the means for the two populations differ. 5.none of these L. Choose the following that is the most correct answer if the value of alpha is 0.05 and the p-value is 0.10 1.Reject the null hypothesis (Ho:) 2.Fail to reject (do not reject/accept) the null hypothesis (Ho:) 3.There is not enough information to make a decision 4.none of these M. Calculate the estimate of the standard error of differences for matched (paired) data where the standard deviation for the differences is 2.15 for a sample with 22 paired observations. Enter your response to two decimals (i.e. -1.12). N. Calculate the value of the test statistic t for matched (paired) data where the average of the differences for a sample with 29 paired observations is 4.2 and the standard deviation of the differences is 3.5. Enter your response to two decimals (i.e. -1.12). O. Determine the positive critical value of z that would be used in developing a confidence interval of the difference between two population proportions, for large independent samples where the desired level of significance (alpha) is 0.02. Use Excel's NORMSINV function, check it against the values that would be nearest in the standard normal distribution table, and enter your response to two decimal places (i.e. 2.12). P. Calculate the point estimator of the difference in two population proportions where 575 in a sample of 1,017 from the first population exhibited the characteristic of interest and 512 in a sample of 1,588 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. -0.12). Be sure to enter the negative sign, if appropriate, and do not enter a positive sign as the system may not grade your response properly. Q. Calculate the upper value (limit) for the interval estimate of the difference between the proportions of two populations where 1,631 in a sample of 3,805 from the first population exhibited the characteristic of interest and 1,502 in a sample of 2,256 from the second population exhibited the characteristic of interest. Use alpha=0.08. Use Excel's "normsinv" function to calculate the critical value of z and round it to four decimals. Then calculate your response without rounding any other intermediate calculations and enter your answer to two decimal places (i.e. 32.12). Be sure to include the negative sign if appropriate. R. Calculate the pooled estimator of the population proportion where 533 in a sample of 1,966 from the first population exhibited the characteristic of interest and 584 in a sample of 1,829 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. 0.12). S. Calculate the standard error that would be used in conducting an hypothesis test for the difference in two population proportions where 538 in a sample of 1,750 from the first population exhibited the characteristic of interest and 508 in a sample of 1,464 from the second population exhibited the characteristic of interest. Enter your response to three decimals (i.e. 0.123). T. Assuming the null hypothesis is Ho:p1-p2=0, calculate the value of the test statistic z where 281 in a sample of 3,731 from the first population exhibited the characteristic of interest and 295 in a sample of 3,380 from the second population exhibited the characteristic of interest. Enter your response to two decimals (i.e. 1.12). Be sure to include the negative sign if appropriate.