Part 1 of 3
Points: 0 of 1
of 64.9 inches.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today:
(b) Suppose the P-value for this test is 0.13 . Explain what this value represents.
(c) Write a conclusion for this hypothesis test assuming an $\alpha=0.10$ level of significance.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
A. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu \neq 63.7$ in.
C. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu< 64.9$ in.
E. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu \neq 64.9$ in.
B. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu> 63.7$ in.
D. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu> 64.9$ in.
F. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu< 63.7$ in.
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Answer
Conclusion: There is not enough evidence to conclude that the mean height of women today is different from 64.9 inches.
Step 1 ：Null hypothesis: \(H_0: \mu = 64.9\) in.
Step 2 ：Alternative hypothesis: \(H_1: \mu \neq 64.9\) in.
Step 3 ：P-value = 0.13
Step 4 ：Since the P-value (0.13) is greater than the significance level (0.10), we fail to reject the null hypothesis.
Step 5 ：Conclusion: There is not enough evidence to conclude that the mean height of women today is different from 64.9 inches.
