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 3422.1. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake? (a) State the appropriate H0. H0: μ ≠ 3422.1 H0: μ > 3422.1 H0: μ = 3422.1 H0: μ ≤ 3422.1 H0: μ < 3422.1 State the appropriate Ha. Ha: μ < 3422.1 Ha: μ ≥ 3422.1 Ha: μ = 3422.1 Ha: μ ≠ 3422.1 Ha: μ > 3422.1 (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 your conclusion. We have sufficient evidence to conclude that Canadian high-performance male athletes are deficient in their calorie intake. We do not 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