Question

[6.74] Nutritional intake among Canadian high-performing female athletes—A total of n = 201 elite female athletes participated in a study to measure nutrition. One reported finding was that the average caloric intake among these 201 women was 2403.7 kilocalories per day. The recommended amount is 2811.5 kcal/day. Does this sample provided evidence at the 5% level that all female Canadian athletes are deficient in caloric intake? (Assume that the population standard deviation is known to be 880 kcal/day.

A.) Write the appropriate hypotheses to test this. Don’t forget to define your variable.

B.) List the conditions required to carry out this test and BRIEFLY explain if they have been met.

C.) Mechanics—show the formula, relevant substitutions, calculations, and P-value.

D.) Link a conclusion to your P-value in context

Answer #1

Nutritional intake among Canadian high-performance athletes.
Since previous studies have reported that elite athletes are often
deficient in their nutritional intake (for example, total calories,
carbohydrates, protein), a group of 23 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...

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,...

A study of 201 female Canadian athletes find that their average
caloric intake was 2703.7 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?
State appropriate null and alternative hypotheses to test
this.
Find the z test statistic.
What is the P-value?
Write a conclusion. Test at the α =...

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,...

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,...

“Every user of statistics should understand the
distinction between statistical significance and practical
importance. A sufficiently large sample will declare very small
effects statistically significant.”
In general, a population of elite female Canadian
athletes were believed to be consuming an average 2403.7 kcal/day
with population s.d. = sigma= 880 kcal/day. A nutritionist
implemented a new diet among a sample of these athletes. Under the
new diet, the sample of athletes had average daily intake of
x-bar=2453.7 kcal/day. The standard deviation...

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