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Chapter 7: Q. 27 (page 429)

For the sums of distribution to approach a normal distribution, what must be true?

Short Answer

Expert verified

The sample size is used to know the number of individuals who play an active role in statistical terms.

Step by step solution

01

Given information

The sums of a distribution approach a normal distribution if the sample size of the distribution gets greater than30.

02

Final answer

Therefore, the sample size ofthe distribution is greater than30.

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Most popular questions from this chapter

Yoonie is a personnel manager in a large corporation. Each month she must review 16of 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 围 be the random variable representing the time it takes her to complete one review. Assume 围 is normally distributed. Let x-be the random variable representing the meantime to complete the 16reviews. Assume that the 16reviews represent a random set of reviews.

Find the probability that one review will take Yoonie from 3.5to 4.25hours. Sketch the graph, labeling and scaling the horizontal axis. Shade the region corresponding to the probability

b. P(________ <x< ________) = _______

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NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less? Is the company鈥檚 claim reasonable?
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