Question

A sport statistician gathered data on the number of points scored in each game by high school basketball players across the country. she found a population mean of 20.15 and a standard deviation of 3.7. each sample size was 20 players. by the central limit theorem, which interval do 68% of the sample means fall within?

Answer 1

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

What is a sample size?

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

hence,

68% = 20.15 ± 3.7/√20 = (19.32, 20.98)

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.

To learn more about  sample size from the given link:

brainly.com/question/22927560

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