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Chapter 7: Q. 35 (page 429)

An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X=one object of interest.

What is the standard deviation of 危X?

Short Answer

Expert verified

The standard deviation of鈭�Xis1000.

Step by step solution

01

Given Information

According to the provided details, the mean of the unknown distribution is 100, the standard deviation is 100and the sample size is 100objects of interest.

02

Explanation

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Mean is the mathematical average of a set of two or more numbers.

Thus the standard deviation of 鈭�xis given as:

=(n)蟽X

=100脳100

=1000

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Most popular questions from this chapter

Use the following information to answer the next six exercises: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2hours. Let Xbe the random variable representing the time it takes her to complete one review. Assume Xis normally distributed. Let Xbe the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

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