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. ← ...

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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3-T
K
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.
Z=
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.)
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 α = 0.05.
OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at α = 0.05.
OC. 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 a = 0.05.
Z=
COLE
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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Transcribed Image Text:3-T K 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. Z= 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.) 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 α = 0.05. OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at α = 0.05. OC. 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 a = 0.05. Z= COLE 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.) earsoncmg.com/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# MacBook Pro
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