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Jorge Ocasio

Jorge O.

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Test the given claim.
Data Set 7 "IQ and Lead" in Appendix B lists full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized on the top of the next page. Use a 0.05 significance level to test the claim that IQ scores of people with low lead levels vary more than IQ scores of people with high lead levels.
$$\begin{aligned}
&\text { Low Lead Level: } n=78, \bar{x}=92.88462, s=15.34451\\
&\text { High Lead Level: } n=21, \bar{x}=86.90476, s=8.988352
\end{aligned}$$

Test the given claim. Data Set 7 "IQ and Lead" in Appendix B lists full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized on the top of the next page. Use a 0.05 significance level to test the claim that IQ scores of people with low lead levels vary more than IQ scores of people with high lead levels. $$\begin{aligned} &\text { Low Lead Level: } n=78, \bar{x}=92.88462, s=15.34451\\ &\text { High Lead Level: } n=21, \bar{x}=86.90476, s=8.988352 \end{aligned}$$

Elementary Statistics

Inferences from Two Samples

Two Variances or Standard Deviations

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Dave Kratz verified

Numerade educator

[5] Why is the difference in final volumes the same (or very close to the same) for both trials?

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Sheryl Ezze verified

Numerade educator

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ=1.3 kg and a standard deviation of σ=4.5 kg. Complete parts​ (a) through​ (c) below. a. If 1 male college student is randomly​ selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is .2309. ​(Round to four decimal places as​ needed.) b. If 4 male college students are randomly​ selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is enter your response here. ​(Round to four decimal places as​ needed.) c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30? A. Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size. C. Since the weight gain exceeds​ 30, the distribution of sample means is a normal distribution for any sample size. D. Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.

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x 6 7 10 11 14 4 8 5 12 13 9 y 9.86 11.81 15.87 16.61 17.02 5.02 13.47 7.59 17.06 17.19 14.82 A. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (5, 4); (7.5, 5); (10, 6); (12, 7); (13.5, 8); (15, 9); (16, 10); (16.5, 11); (17, 12); (17, 13); (17, 14). B. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 15); (5, 16.5); (6, 5); (7, 7.5); (8, 16); (9, 17); (10, 10); (11, 12); (12, 17); (13, 17); (14, 13.5). C. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 5); (5, 7.5); (6, 10); (7, 12); (8, 13.5); (9, 15); (10, 16); (11, 16.5); (12, 17); (13, 17); (14, 17). D. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 8); (5, 9); (6, 10); (7, 11); (8, 12); (9, 14); (10, 15); (11, 16); (12, 17); (13, 18); (14, 20). Part 3 Identify a characteristic of the data that is ignored by the regression line. A. The data has a pattern that is not a straight line. B. There is no trend in the data. C. There is an influential point that strongly affects the graph of the regression line. D. There is no characteristic of the data that is ignored by the regression line.

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y 9.86 11.81 15.87 16.61 17.02 5.02 13.47 7.59 17.06 17.19 14.82 Question content area bottom Part 1 y=enter your response here+enter your response herex​ (Round to two decimal places as​ needed.)

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Willis James verified

Numerade educator

x 6 7 10 11 14 4 8 5 12 13 9 y 9.86 11.81 15.87 16.61 17.02 5.02 13.47 7.59 17.06 17.19 14.82 y=enter your response here+enter your response herex​ (Round to two decimal places as​ needed.)

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Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 6 7 10 11 14 4 8 5 12 13 9 y 9.86 11.81 15.87 16.61 17.02 5.02 13.47 7.59 17.06 17.19 14.82 Question content area bottom Part 1 y=enter your response here+enter your response herex​ (Round to two decimal places as​ needed.) Part 2 Create a scatterplot of the data. Choose the correct graph below. A. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (5, 4); (7.5, 5); (10, 6); (12, 7); (13.5, 8); (15, 9); (16, 10); (16.5, 11); (17, 12); (17, 13); (17, 14). B. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 15); (5, 16.5); (6, 5); (7, 7.5); (8, 16); (9, 17); (10, 10); (11, 12); (12, 17); (13, 17); (14, 13.5). C. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 5); (5, 7.5); (6, 10); (7, 12); (8, 13.5); (9, 15); (10, 16); (11, 16.5); (12, 17); (13, 17); (14, 17). D. 0 5 10 15 20 25 0 5 10 15 20 25 x y A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 8); (5, 9); (6, 10); (7, 11); (8, 12); (9, 14); (10, 15); (11, 16); (12, 17); (13, 18); (14, 20). Part 3 Identify a characteristic of the data that is ignored by the regression line. A. The data has a pattern that is not a straight line. B. There is no trend in the data. C. There is an influential point that strongly affects the graph of the regression line. D. There is no characteristic of the data that is ignored by the regression line.

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Sanchit Jain verified

Numerade educator

Age​ (years) of Best Actress when award was won Frequency ​20-29 25 ​30-39 33 ​40-49 14 ​50-59 2 ​60-69 7 ​70-79 2 ​80-89 1 Age​ (years) of Best Actress when award was won Cumulative Frequency Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 Less than 90

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Donna Densmore verified

Numerade educator

Purchased Gum Kept the Money Students Given Four Quarters 25 16 Students Given a​ $1 Bill 15 31 a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given a​ $1 bill. The probability is enter your response here. ​(Round to three decimal places as​ needed.) b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given a​ $1 bill. The probability is enter your response here. ​(Round to three decimal places as​ needed.) c. What do the preceding results​ suggest? A. A student given a​ $1 bill is more likely to have spent the money. B. A student given a​ $1 bill is more likely to have kept the money. C. A student given a​ $1 bill is more likely to have kept the money than a student given four quarters. D. A student given a​ $1 bill is more likely to have spent the money than a student given four quarters.

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Sheryl Ezze verified

Numerade educator

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table Source DF SS MS ​F-Stat ​P-value Columns 2 1149.5500 574.77500 57.7839 ​<0.0001 Error 77 765.91667 9.9469697 Total 79 1915.4667 Determine the test statistic. The test statistic is enter your response here. ​(Round to two decimal places as​ needed.) Determine the​ P-value. The​ P-value is enter your response here.

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ANSWERED

Sheryl Ezze verified

Numerade educator

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table Source DF SS MS ​F-Stat ​P-value Columns 2 1149.5500 574.77500 57.7839 ​<0.0001 Error 77 765.91667 9.9469697 Total 79 1915.4667 Determine the null hypothesis. H0​: ▼ mu 1 less than mu 2 less than mu 3μ1<μ2<μ3 All of the means are differentAll of the means are different mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 At least one of the means is different from the othersAt least one of the means is different from the others mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 Part 2 Determine the alternative hypothesis. H1​: ▼ All of the means are differentAll of the means are different At least one of the means is different from the othersAt least one of the means is different from the others mu 1 less than mu 2 less than mu 3μ1<μ2<μ3 mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3

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