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ExtremeBDS [4]
4 years ago
12

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 = 50 male athletes from eight Canadian sport centers were surveyed. The average caloric intake was 3077.0 kilocalories/day with a sample standard deviation of 987.0. The recommended amount is 3421.7. Construct a 95% confidence interval. Please use interval notation and round to two decimal places, (xxxx.xx, xxxx.xx).
Mathematics
1 answer:
Naddik [55]4 years ago
7 0

Answer:

(3138.29, 3705.11)

Step-by-step explanation:

Given that for sample size of n = 50 male athletes from eight Canadian sport centers  surveyed, the average caloric intake was 3077.0 kilocalories/day with a sample standard deviation of 987.0.

The recommended amount = 3421.70

To construct 95% confidence interval

Since population std deviation is not known we use t critical value for degree of freedom 50-1 =49

t critical = 2.010

Hence margin of error = 2.010*\frac{987}{\sqrt{50-1} } \\=283.41

Confidence interval lower bound = 3421.70-283.41\\=3138.29

Confidence interval upper bound = 3421.70+283.41\\=3705.11

Conf interval = (3138.29, 3705.11)

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Solved the given question by addition rules and the value of START is 10430.

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The given problem is from the alphabetical puzzle. In the given problem the equation given is,

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