Question

1. Philosophical and health issues are prompting an increasing number of Taiwanese to switch to a vegetarian lifestyle. A study published in the Journal of Nutrition compared the daily intake of nutrients by vegetarians and omnivores living in Taiwan. Among the nutrients considered was protein. Too little protein stunts growth and interferes with all bodily functions; too much protein puts a strain on the kidneys, can cause diarrhea and dehydration, and can leach calcium from bones and teeth. Independent random samples of 47 females vegetarians and 49 female omnivores yielded the following summary statistics, in grams, on daily protein intake.

Vegetarians: xbar = 39.7 s = 19.2 n = 47

Omnivores: xbar = 49.9 s = 18.9 n = 49

DoF= 94

t= 2.6220

.05 significance level

p-value= .0102

(A) Determine a 95% confidence interval for the difference between the mean daily protein intakes of female vegetarians and female omnivores.

(B) Interpret your answer in part (A).

Answer 1