calculated the mean length of menstrual cycles in an SRS of n = 9 women. The data

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calculated the mean length of menstrual cycles in an SRS of n = 9 women. The data revealed days with standard deviation s = 2.906 days.

(a) Calculate a 95% confidence interval for the mean menstrual cycle length.

(b) Based on the confidence interval you just calculated, is the mean menstrual cycle length significantly different from 28.5 days at α

= 0.05

(two sided)? Is it significantly different from μ = 30 days at the same α-level? Explain your reasoning. (Section 10.4 considered the relationship between confidence intervals and significance tests. The same rules apply here.)

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