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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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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