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The proportion of observations from a standard Normal distribution with values larger than 0.75is

(a)0.2266. (c) 0.7734. (e) none of these

(b)0.7422. (d) 0.8023.

Short Answer

Expert verified

Correct answer is

(c) 0.7734

Step by step solution

01

 Given information 

Standard Normal distribution with values larger than 0.75.

We have to find the proportion of observations.

02

Step 2:  Explanation 

Find the probability corresponding to -0.75using table A:

P=0.2266

By comparing 0.2266of all observations, we can see that it is less than -0.75.

The total proportion being 1, this proportion is larger than -0.75, since 1-0.2266=0.7734of all observations.

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Most popular questions from this chapter

Estimating SD The figure at top right shows two Normal curves, both with mean 0. Approximately what is the standard deviation of each of these curves?

Now suppose that you convert the class’s heights to z-scores. What would be the shape, center, and spread of this distribution? Explain.

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

(a) zis between −1.33and 1.65

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

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