The weights of people in a certain population are normally distributed with a mean of 159 lbs, and a standard deviation of 24 lbs. Determine

Question

The weights of people in a certain population are normally distributed with a mean of 159 lbs, and a standard deviation of 24 lbs. Determine the sampling distribution of the mean for samples of size 5 and it’s standard deviation

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Melody 1 week 2021-09-08T15:26:10+00:00 1 Answer 0

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    2021-09-08T15:27:51+00:00

    Answer:

    Standard deviation = 10.73

    Step-by-step explanation:

    We are given the following information in the question:

    Mean, μ = 159 lb

    Standard Deviation, σ = 24 lb

    We are given that the distribution of weights of people is a bell shaped distribution that is a normal distribution.

    a) sampling distribution of the mean

    The sampling distribution of the mean is the same as the  distribution of weights of people that is the normally distributed.

    b) Standard deviation

    Sample size, n = 5

    =\dfrac{\sigma}{\sqrt{n}} = \dfrac{24}{\sqrt{5}}= 10.73

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