Question

One part of a recent study captured the daily calorie inteake of 114 elite male Canadian athletes at 8 different training centers acrossed the nation. The mean number of calories per day these men consumed was 3077 kcal/d and the standard deviation was 987 kcal/d. The reconmended intake is 3421.7 kcal/d. Determine if we should conclude that elite male Candian athletes don't get enough daily calories on average at significance level 0.05.

The test statistic is _____ (to four decimal places):

The p value is ______ (to four decimal places):

In fact, we can conclude that elite male Canadian athlete, on average, take is _____ less calories per day than they should.

Can we conclude that, in general, male Canadians are calorie deficient?

The 95% conficence interval around the mean number of missing kcal/d for elite male Conadian athletes is ( __,__ ).

Answer 1

a)

H0 : mu = 3421.7
Ha : mu < 3421.7

b)

t = (xbar - mu)/(sigma/sqrt(n))
= ( 3077 - 3421.7)/(987/sqrt(114))
= -3.7289

p value = 0.0013

yes, we can conclude that, in general, male Canadians are calorie deficient

t value at 95% = 1.9812

CI = mean +/- t *(s/sqrt(n))
=3077 +/- 1.9812 * (987/sqrt(114))
=(2893.8559,3260.1441)