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Chapter 2: Q.74 (page 135)

The proportion of observations from a standard Normal distribution with values larger than 鈭�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 鈭�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

Trace the density curve onto your paper. Mark the approximate location of the median.

Use Table A to 铿乶d the value zfrom the standard Normal distribution that satis铿乪s each of the following conditions. In each case, sketch a standard Normal curve with your value of zmarked on the axis. Use your calculator or the Normal Curve applet to check your answers.

Working backward

(a) The 10th percentile.

(b) 34% of all observations are greater thanz.

About what proportion of observations lie between 7and 8?

R2.9 low-birth-weight babies Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is Normal with a mean of 3668 grams and a standard deviation of 511 grams. 17 Babies that weigh less than 2500 grams at birth are classified as "low birth weight."

(a) What percent of babies will be identified as having low birth weight? Show your work.

(b) Find the quartiles of the birth weight distribution. Show your work.

R2.8 Working backward

(a) Find the number zat the 80th percentile of a standard Normal distribution.

(b) Find the number localid="1649404103275" zsuch that localid="1649404108890" 35%of all observations from a standard Normal distribution are greater than localid="1649404115271" z.

- Use Table A to find the percentile of a value from any Normal distribution and the value that corresponds to a given percentile.
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