1. A study of 201 female Canadian athletes find that their average caloric intake was 2753.7 kilocalories per day (kcal/d). The recommended caloric intake is 2811.5 kcal/d. Assume that the standard deviation for caloric intake among all female Canadian athletes is 880 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? Test at the α = 0.05 level
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(μ = 2811.5 kcal/d) - Alternative Hypothesis (H1): The average caloric intake of female Canadian athletes is less than the recommended caloric intake. (μ < 2811.5 kcal/d) Show more…
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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 = 209 women was 2,403.7 kilocalories per day (kcal/d). The recommended amount is 2,817.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? Is this result significant at the 5% level? (a) State the appropriate H0 and Ha to test this. b) Assuming a standard deviation of 860 kcal/d, carry out the test. (Round your value for z to two decimal places and round your P-value to four decimal places.) z = P-value =
David N.
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. ${ }^{23} \mathrm{~A}$ 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 $(\mathrm{kcal} / \mathrm{d})$. The recommended amount is $2811.5 \mathrm{kcal} / \mathrm{d}$. Is there evidence that female Canadian athletes are deficient in caloric intake? (a) State the appropriate $H_{0}$ and $H_{a}$ to test this. (b) Assuming a standard deviation of $880 \mathrm{kcal} / \mathrm{d}$, carry out the test. Give the $P$-value, and then interpret the result in plain language.
Introduction to Inference
Tests of Significance
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 987.0. The recommended amount is 3422.6. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake? t= df= P-value= Construct a 95% confidence interval for the daily average deficiency in caloric intake. (Round your answers to one decimal place.)=
Madhur L.
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