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Chapter 2: Q. 2.2 (page 119)

Use Table A in the back of the book to find the proportion of observations from a standard Normal distribution that fall in each of the following regions. In each case, sketch a standard Normal curve and shade the area representing the region.

2.z>−2.15

Short Answer

Expert verified

The standard Normal curve, with the region represented by the area, is as follows:

Step by step solution

01

Given Information  

Z-score :z>−2.15

02

Explanation  

From Table A:

P(z>−2.15)=P(z<2.15)=0.984222

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Most popular questions from this chapter

Comparing bone density Refer to the previous exercise. One of Judy’s friends, Mary, has the bone density in her hip measured using DEXA. Mary is 35 years old. Her bone density is also reported as 948g/cm2, but her standardized score isz=0.50. The mean bone density in the hip for the reference population of 35-year-old women is 944grams/cm2.

(a) Whose bones are healthier—Judy’s or Mary’s? Justify your answer.

(b) Calculate the standard deviation of the bone density in Mary’s reference population. How does

this compare with your answer to Exercise 13(b)? Are you surprised?

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(a) Find the mean and median of the students’ heights in feet. Show your work.

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Use Table A to find the proportion of observations from the standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to the question. Use your calculator or the Normal Curve applet to check your answers.

More Table A practice

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