Reference no: EM132160559

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 3078.0 kilocalories per day (kcal/d) with a standard deviation of 986.0. The recommended amount is 3422.4. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?

(a) State the appropriate H₀. State the appropriate H_a.

(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.) State the conclusion.

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