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Chapter 6: Q. 6.78 (page 269)

DetermineZ0.015

Short Answer

Expert verified

The z-score under the usual normal curve with area 0.015 to the right is around 2.17.

Step by step solution

01

Given information

The given area is0.015.

02

Explanation

The given area is 0.015

The z-score for which the area under the standard normal curve to its right is 0.015will be identical to the z-score for which the area under the standard normal curve to its left is 1-0.015=0.985.

Begin by looking for the region 0.985 in the table's body. 2.17is the z-score that corresponds to it.

As a result, the z-score under the usual normal curve with area 0.015to the right is around 2.17, 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

11. Answer true or false to each statement. Explain your answers.

a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.

b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.

Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.

Find the area under the standard normal curve that lies

a. either to the left of -2.12or to the right of 1.67.

b. either to the left of 0.63or to the right of 1.54.

Explain how to obtain normal scores from Table III in Appendix A when a sample contains equal observations.

Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of 200to a high of 800. Summary results for the scores are published by the College Entrance Examination Board in College Bound Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site. Use the technology of your choice to answer the following questions.

a. Do the SAT verbal scores for this class appear to be approximately normally distributed? Explain your answer.

b. Do the SAT math scores for this class appear to be approximately normally distributed? Explain your answer.

A variable is normally distributed with a mean 6and standard deviation 2. Find the percentage of all possible values of the variable that

a. lie between 1and 7

b. exceed 5

c. are less than 4.
See all solutions

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