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Chapter 7: Q.30 (page 429)

An unknown distribution has a mean of 19 and a standard deviation of 20. Let X = the object of interest. What is the sample size if the mean of ΣX is 15,200?

Short Answer

Expert verified

The sample size if the mean of ΣX is 15,200 is 608

Step by step solution

01

Given Information

Given that an unknown distribution has a mean of 19 and a standard deviation of 20

We have to find the sample size if the mean of ΣX is 15,200

02

Explanation

The mean of the unknown distribution is 25 and the standard deviation is 6 and the mean of ∑Xis 15200 . The sample size (n)is calculated by using following formula:

Mean of∑X=(n)μX

Thus, the sample size is:

15200=n×25

n=1520025

=608

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