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Chapter 6: Q. 6.72 (page 269)

Determine the z-score for which the area under the standard normal curve to its left is0.01.

Short Answer

Expert verified

The z-score under the usual normal curve with the area 0.01to the left is around-2.33.

Step by step solution

01

Given information

The area given area is 0.01.

02

Explanation

The given area is-0.01

Begin by looking for the area 0.01in the table's body. The item isn't on the table. 0.0099is the nearest area. The matching z-score for that area is-2.33.

As a result, the z-score under the usual normal curve with the area 0.01to the left is around -2.33, which may be depicted as

Below is a section of the standard normal table that is relevant:

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Most popular questions from this chapter

Without consulting Table II, explain why the area under the standard normal curve that lies to the right of 0 is 0.5.

15. Explain how to use Table II to determine the z-score that has a specified area to its

a. left under the standard normal curve.

b. right under the standard normal curve.

A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Techical Journal. Vol. 5, pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. Based on the results of that paper. we obtained the following percent distribution for the number of wrong numbers during a 1-minute period.

a. Construct a relative-frequency histogram of these wrong-number data.

b. Based on your histogram, do you think that the number of wrong numbers from these coin-box telephones is approximately normally distributed? Explain your answer.

What does the symbol zαsignify?

We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.
See all solutions

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