Question

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 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 3422.8. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?

(a) State the appropriate H₀.

a) H₀: μ ≠ 3422.8

b) H₀: μ < 3422.8

c) H₀: μ > 3422.8

d) H₀: μ ≤ 3422.8

e) H₀: μ = 3422.8

State the appropriate H_a.

a) H_a: μ ≠ 3422.8

b) H_a: μ ≥ 3422.8

c) _a: μ = 3422.8

d) H_a: μ > 3422.8

e) H_a: μ < 3422.8

(b) Carry out the test. (Round your answer for t to three decimal places.)

t =

Give the degrees of freedom.
df =

Give the P-value. (Round your answer to four decimal places.)
p - value =

State your conclusion.

a) We do not have sufficient evidence to conclude that Canadian high-performance male athletes are deficient in their calorie intake.

b) We have sufficient evidence to conclude that Canadian high-performance male athletes are deficient in their calorie intake.    

(c) Construct a 95% confidence interval for the daily average deficiency in caloric intake. (Round your answers to one decimal place.)

( , ) kcal/day

Answer 1