The daily calorie intake for a group of 11 healthy women, aged 22-30 was recorded for 10 days, and then an average was obtained within each women to reflect her mean calorie intake/day. The data are shown: 5260, 5470, 5640, 6180, 6390,6515,6805,7515,7515,8230,8770. What can you say about the energy intake, compared to recommended daily calorie intake of 7725kj. Evaluate the assumptions for the statistical test. Solution now mean of the sample of 11 mean ,u =total /n =6753.6 calorie sample standard deviation ,S =sqrt((xi-u)^2/(n-1))=1142.1 now since population standard deviation is not known so we will do t-test and data will follow t- distribution. u0=7725 t0 =(u-u0)/(S/n) =(6753.6-7725)/(1142.1/11) =-2.821 (test statistics) (answer).

1. The daily calorie intake for a group of 11 healthy women, aged 22-30 was recorded for 10 days,
and then an average was obtained within each women to reflect her mean calorie intake/day. The
data are shown: 5260, 5470, 5640, 6180, 6390,6515,6805,7515,7515,8230,8770. What can you
say about the energy intake, compared to recommended daily calorie intake of 7725kj. Evaluate
the assumptions for the statistical test.
Solution
now mean of the sample of 11
mean ,u =total /n =6753.6 calorie
sample standard deviation ,S =sqrt((xi-u)^2/(n-1))=1142.1
now since population standard deviation is not known so we will do t-test and data will follow t-
distribution.
u0=7725
t0 =(u-u0)/(S/n) =(6753.6-7725)/(1142.1/11)
=-2.821 (test statistics) (answer)