Chapter 7: Q.29 (page 429)

An unknown distribution has a mean of $25$ and a standard deviation of six. Let $X$ = one object from this distribution. What is the sample size if the standard deviation of $Σ X$ is $42$ ?

Short Answer

Expert verified

The sample size is $49$ .

Step by step solution

Given Information

An unknown distribution has a mean of $25$ and a standard deviation of six.

Explanation

The sample size if the standard deviation of $Σ X = (\sqrt{n}) (σ_{x})$

Therefore, the sample size is:

$42 = \sqrt{n} \times 6$

$\sqrt{n} = \frac{42}{6}$

role="math" localid="1648890741186" $\sqrt{n} = 7$

$n = 49$

Therefore, the sample size is $49$

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An unknown distribution has a mean of $25$ and a standard deviation of six. Let $X$ = one object from this distribution. What is the sample size if the standard deviation of $Σ X$ is $42$ ?

Short Answer

Step by step solution

Given Information

Explanation

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An unknown distribution has a mean of 25 and a standard deviation of six. Let X = one object from this distribution. What is the sample size if the standard deviation of ΣX is 42?

Short Answer

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

An unknown distribution has a mean of $25$ and a standard deviation of six. Let $X$ = one object from this distribution. What is the sample size if the standard deviation of $Σ X$ is $42$ ?