A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and a standard d

Question

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and a standard deviation of 6.6 pounds. Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 65 people on this diet, what would be the standard deviation of the sampling distribution of sample means

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Acacia 5 years 2021-08-10T07:43:34+00:00 1 Answers 28 views 0

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  1. kimchi2
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    2021-08-10T07:45:03+00:00
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    Answer:

    The standard deviation of the sampling distribution of sample means would be 0.8186.

    Step-by-step explanation:

    We are given that

    Mean of population=23.2 pounds

    Standard deviation of population=6.6 pounds

    n=65

    We have to find the standard deviation of the sampling distribution of sample means.

    We know that standard deviation of the sampling distribution of sample means

    =\frac{\sigma}{\sqrt{n}}

    Using the formula

    The standard deviation of the sampling distribution of sample means

    =\frac{6.6}{\sqrt{65}}

    =0.8186

    Hence,  the standard deviation of the sampling distribution of sample means would be 0.8186.

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