Here are 68 weight gains (lb) for pregnant women from conception to delivery (“Classifying Data Displays with an Assessment of Displays Found in Popular Software,” Teach. Statist., Autumn 2002: 96–101). A 95% CI for the population mean weight gain μ is desired.

a. Compute the t-based confidence interval of Section 8.2.
b. Check for normality to see if part (a) is valid. Is the sample large enough that the interval might be valid anyway?
c. Use software to generate a bootstrap sample of means. Create a histogram of the resulting x̅* values.
d. Use the standard deviation for part (c) to get a 95% bootstrap t confidence interval for l. Based on the histogram in part (c), is this CI valid?
e. Use part (c) to form the 95% confidence bootstrap percentile interval for μ.
f. Compare all three intervals.

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