Question

1. Nutritional intake among Canadian high-performance male athletes. Since previous studies have reported that elite athletes are often deficient in their nutritional intake, a group of researchers decided to evaluate Canadian high-performance athletes. For one part of the study, n = 114 male athletes from eight Canadian sports centers were surveyed. Their average caloric intake was 3077.0 kilocalories per day (kcal/d) with a standard deviation of 987.0. The recommended amount is 3427. At the 5% significance level, is there evidence that Canadian high-performance male athletes are deficient in their caloric intake? Do the five steps to hypothesis testing to perform a p-value t-test (if by hand give the P-value interval, if using technology, give the exact P-value).

Answer 1

Solution :

= 3077.0

=  3427

s = 987.0

n = 114

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :    = 3077.0

H_a :     3077.0

Test statistic = t

= ( - ) / s / n

= ( 3427- 3077.0 ) / 987.0 / 114  

= 3.786

Test statistic = t = 3.786

P-value =0.0002

= 0.05  

P-value <

0.0002 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that