Answer to Question #29952 in Statistics and Probability for Anmol

Question

1. A recent study examined the effect of diet cola consumption on calcium levels in healthy adult
women. It is possible that diet cola leaches calcium out of the body. To investigate this, 16
healthy adult women were assigned to drink either 750 ml of diet cola or 750 ml of water and
then asked to collect their urine for 3 hours. The calcium content of the urine was recorded.
The results appear below, in mg.
Diet cola 50 62 48 55 58 61 58 56
Water 48 46 54 45 53 46 53 48

(a) Use the results to investigate whether or not the mean amount of calcium lost for women
who drink cola is the same as that for women who drink water. In particular

i. Give the null hypothesis, H0.

ii. Give the alternative, H1. Should this be one- or two-sided? Give a reason for your
answer.
iii. Give the most appropriate test statistic to test H0 against H1. Be sure to check that
the assumptions are satis ed for the test that you use.
(b) Give a 95% con dence interval for the difference between the means