Question

Consider the following hypotheses: H0: μ ≥ 142 HA: μ < 142 A sample of 72 observations results in a sample mean of 137. The population standard deviation is known to be 21. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic -0.83 a-2. Find the p-value. p-value 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? Yes since the p-value is less than the significance level. No since the p-value is greater than the significance level. No since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01? No since the p-value is greater than the significance level. No since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. Yes since the p-value is less than the significance level. d. Interpret the results at α = 0.01. We cannot conclude that the population mean is less than 142. We conclude that the population mean is less than 142. We conclude that the population proportion differs from 142. We conclude that the population proportion equals 142.

          Consider the following hypotheses: H0: μ ≥ 142
HA: μ < 142
A sample of 72 observations results in a sample mean of 137. The
population standard deviation is known to be 21. (You may find it
useful to reference the appropriate table: z table or t table)
a-1. Calculate the value of the test statistic. (Negative value
should be indicated by a minus sign. Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
Test statistic
-0.83
a-2. Find the p-value.
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value <
0.10
b. Does the above sample evidence enable us to reject the null
hypothesis at α = 0.05?
Yes since the p-value is less than the significance level. No
since the p-value is greater than the significance level. No since
the p-value is less than the significance level.
Yes since the p-value is greater than the significance
level.
c. Does the above sample evidence enable us to reject the null
hypothesis at α = 0.01?
No since the p-value is greater than the significance level. No
since the p-value is less than the significance level. Yes since
the p-value is greater than the significance level. Yes since the
p-value is less than the significance level.
d. Interpret the results at α = 0.01.
We cannot conclude that the population mean is less than 142. We
conclude that the population mean is less than 142.
We conclude that the population proportion differs from 142. We
conclude that the population proportion equals 142.

Added by Sandra H.

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