A random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. 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? Z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State and interpret the results of the test. SELL O A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. O C. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. O D. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 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. What is the value of the test statistic? (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.)
A random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. 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? Z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State and interpret the results of the test. SELL O A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. O C. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. O D. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 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. What is the value of the test statistic? (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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A random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. 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?
Z=
(Round to two decimal places as needed.)
Find the p-value.
p-value = (Round to three decimal places as needed.)
State and interpret the results of the test.
O A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.
OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05.
O C. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at α = 0.05.
O D. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at α = 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.
What is the value of the test statistic?
(Round to two decimal places as needed.)
Find the p-value.
p-value = (Round to three decimal places as needed.)
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