A hat company claims that the mean hat size for a male is at least 7.25. A random sample of 12 hat sizes has a mean of 7.15. At a = 0.01, can you reject the company's claim? Assume the population is normally distributed and the population standard deviation is 0.27. a) State the null and alternative hypotheses b) Identify the claim c) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed d) Draw the graph and shade e) Determine whether to use a t-test or a z-test and perform the test f) Decide whether to reject or fail to reject the null hypothesis g) Interpret the decision concerning the claim
A hat company claims that the mean hat size for a male is at least 7.25. A random sample of 12 hat sizes has a mean of 7.15. At a = 0.01, can you reject the company's claim? Assume the population is normally distributed and the population standard deviation is 0.27. a) State the null and alternative hypotheses b) Identify the claim c) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed d) Draw the graph and shade e) Determine whether to use a t-test or a z-test and perform the test f) Decide whether to reject or fail to reject the null hypothesis g) Interpret the decision concerning the claim
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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Transcribed Image Text:A hat company claims that the mean hat size for a male is at least 7.25. A random sample of 12 hat
sizes has a mean of 7.15. At a = 0,01, can you reject the company's claim? Assume the population
is normally distributed and the population standard deviation is 0.27.
a) State the null and alternative hypotheses
b) Identify the claim
c) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
d) Draw the graph and shade
e) Determine whether to use a t-test or a z-test and perform the test
f) Decide whether to reject or fail to reject the null hypothesis
g) Interpret the decision concerning the claim
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