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In: Statistics and Probability

Since previous studies have reported that elite athletes are often deficient in their nutritional intake (for...

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 3076.0 kilocalories per day (kcal/d) with a standard deviation of 986.0. The recommended amount is 3421.4. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?

(a) State the appropriate H0. H0: μ < 3421.4

H0: μ > 3421.4

H0: μ = 3421.4

H0: μ ≠ 3421.4

H0: μ ≤ 3421.4

State the appropriate

Ha. Ha: μ = 3421.4

Ha: μ > 3421.4

Ha: μ ≥ 3421.4

Ha: μ < 3421.4

Ha: μ ≠ 3421.4

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

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

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Expert Solution

orchestra answered 1 year ago
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