The heights of randomly selected men and women were recorded. The summary statistics are below. Construct a 99% confidence interval for the difference between the mean height (in cm) of women and the mean height of men. Assume that the two samples are independent and that they have been randomly selected from normally distributed populations. Do not assume that the population standard deviations are equal.

Women: n1 = 10

x1 = 162.4 cm

s1 = 11.8 cm

Men: n2 = 10

x2 = 178.77 cm

s2 = 5.3 cm

1. Select type of Confidence Interval

2. Check requirements

3. Calculate E

4. Construct Confidence Interval, write in interval notation

5. Interpret CI in context of original problem