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 random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. Complete parts a through c below. ← ...
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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Step 1: Stating the provided information :
VIEWStep 2: Part (a) - Calculating the test-statistic.
VIEWStep 3: Part (a) - Calculating p-value and interpreting results.
VIEWStep 4: Part (b) - Calculating the test statistic.
VIEWStep 5: Part (b) - Calculating p-value and interpreting results.
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