Question: Example 11 analyzed political conservatism and liberalism in the United

Example 11 analyzed political conservatism and liberalism in the United States. Suppose that the sample mean of 4.11 and sample standard deviation of 1.43 were from a sample size of only 25, rather than 1933.
a. Find the test statistic.
b. Find the P-value for testing H0: μ = 4.0 against Ha: μ ≠ 4.0. Interpret.
c. Show that a 95% confidence interval for μ is (3.5, 4.7).
d. Together with the results of Example 11, explain what this illustrates about the effect of sample size on (i) the size of the P-value (for a given mean and standard deviation) and (ii) the width of the confidence interval.


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  • CreatedSeptember 11, 2015
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