b. suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm?

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01-12-2022
Mathematics

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b. suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm?

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Abhinavjh321idn Abhinavjh321idn · Answer 1 · 2022-12-05T11:55:33-05:00

The average waist size of the population is 85 cm, and the standard deviation is 15 cm. then A sample mean waist size of at least 86.3 cm has a 0.931 probability of occurring.

We can use the Z-score formula to find the probability.

Z = (86.3 - 85) / (15 / sqrt(277))

Z = 0.2 / 0.106

Z = 1.89

The probability of a sample mean waist size of at least 86.3 cm is 0.931.

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