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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

Calculus For The Life Sciences
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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Calculus For The Life Sciences
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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