A random sample of 100 observations from a population with standard deviation 65 yielded a sample mean of 112. Complete parts a through c below. a. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ> 100, using a = 0.05. Interpret the results of the test. What is the value of the test statistic? (Round to two decimal places as needed.) Z Find the p-value. p-value = State and interpret the results of the test. (Round to three decimal places as needed.) O A. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. O B. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OC. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OD. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. b. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ# 100, using a = 0.05. Interpret the results of the test.

MATLAB: An Introduction with Applications
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A random sample of 100 observations from a population with standard deviation 65 yielded a sample mean of 112. Complete parts a through c below.
K
..
a. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ> 100, using a = 0.05. Interpret the results of the test.
What is the value of the test statistic?
z=(Round to two decimal places as needed.)
Find the p-value.
p-value =
State and interpret the results of the test.
(Round to three decimal places as needed.)
O A. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.
O B. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.
OC. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.
OD. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.
b. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ# 100, using a = 0.05. Interpret the results of the test.
Transcribed Image Text:A random sample of 100 observations from a population with standard deviation 65 yielded a sample mean of 112. Complete parts a through c below. K .. a. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ> 100, using a = 0.05. Interpret the results of the test. What is the value of the test statistic? z=(Round to two decimal places as needed.) Find the p-value. p-value = State and interpret the results of the test. (Round to three decimal places as needed.) O A. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. O B. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OC. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OD. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. b. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ# 100, using a = 0.05. Interpret the results of the test.
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