Question

QUESTION 1: A researcher is investigating whether the mean weight of non-vegetarian women is more than mean weight vegetarian women. A sample of 30 non-vegetarian women had a mean of 152 pounds and standard deviation 5 pounds and a sample of 40 vegetarian women had a mean of 135 pounds and standard deviation 4 pounds.

a) Find and interpret a 95% confidence interval for the difference between the mean weight of non-vegetarian and vegetarian women. (You don’t need to show how the interval is built. Just the interval and its interpretation.)

b) Based on the confidence interval, is it plausible that the mean weight of non-vegetarian and vegetarian women are the same? Why or why not?

Answer 1