A hat company claims that the mean hat size for a male is at least 7.25. A
Question:
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 α = 0.01, can you reject the company’s claim? Assume the population is normally distributed and the population standard deviation is 0.27.
(a) Identify the claim and state H0 and Ha.
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
(c) Choose one of the options.
Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.
Option 2: Find the appropriate standardized test statistic and the P-value.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
Step by Step Answer:
Elementary Statistics Picturing The World
ISBN: 9781292260464
7th Global Edition
Authors: Betsy Farber, Ron Larson