In: Statistics and Probability
Since previous studies have reported that elite athletes are
often deficient in their nutritional intake (for example, total
calories, carbohydrates, protein), a group of researchers decided
to evaluate Canadian high-performance athletes. A total of
n = 324 athletes from eight Canadian sports
centers participated in the study. One reported finding was that
the average caloric intake among the n = 201
women was 2403.7 kilocalories per day (kcal/d). The recommended
amount is 2811.5 kcal/d.
For one part of the study, n = 114 maleathletes
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 3422.1. Is
there evidence that Canadian high-performance male athletes are
deficient in their caloric intake?
(b) Carry out the test. (Round your answer for t to three
decimal places.)
t = ?
Give the degrees of freedom.
= ?
Give the P-value. (Round your answer to four decimal
places.)
=?
(c) Construct a 95% confidence interval for the daily average
deficiency in caloric intake. (Round your answers to one decimal
place.)
( , ) kcal/day =?