Question 4: I was 0 when I was born. How old were you, Mom? Students in a different statistics class were asked to report the age of their mothers when they were born. Here are the summary statistics: Sample size: 28 sample mean: 29.643 years sample stDev: 4.564 years a. Calculate the standard error of this sample mean. b. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at the college. c. How would a 99% confidence interval compare to the 90% confidence interval in terms of its midpoint and half-width? d. Would you expect 90% of the ages in the sample to be in the 90% confidence interval? Explain why or why not.
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