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Chapter 6: Q1 (page 291)

Bone Density Test.

In Exercises 1鈥�4, assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a standard deviation of 1.

Bone Density Sketch a graph showing the shape of the distribution of bone density test scores.

Short Answer

Expert verified

The graph for the shape of distribution of bone density test scores is shown below:

Step by step solution

01

Given information

The bone mineral density test scores are normally distributed with mean value of 0 and standard deviation of 1.

02

Describe the random variable

Let Z be the random variable for bone mineral density test scores.

Z~N渭,蟽2~N0,12

The shape of the curve is expected to be bell-shaped, symmetric at mean value of 0.

03

Sketch the graph

The steps to sketch the graph are:

  1. Draw horizontal axis with values extending from 鈥�3 to 3 with a gap of 1 unit each.
  2. Sketch a bell shape curve such that it increases from 鈥�3 to 0 and then decreases smoothly from 0 to 3, maintaining symmetry at 0.

The graph is shown below:

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Most popular questions from this chapter

Sampling with Replacement The Orangetown Medical Research Center randomly selects 100 births in the United States each day, and the proportion of boys is recorded for each sample.

a. Do you think the births are randomly selected with replacement or without replacement?

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to four decimal places.

Greater than -3.05.

Standard Normal DistributionIn Exercises 17鈥�36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers

to four decimal places.

Greater than 0.25
See all solutions

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