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Chapter 6: Q6.1 (page 259)

What is a Density Curve

Short Answer

Expert verified

It is graphical representation of continuous variables' outcomes distribution (likelihood).

Step by step solution

01

Basics 

A Density Curve is a graphical representation of numerical distribution, having variable outcomes that are continuous.

Continuous Outcome variables can take non whole ie decimal values.

Like weight = 54.3 kgs , height = 5.4 foot

02

Explanation 

The curve shows likelihood ( probability) of continuous variable' outcomes. As total probability = 1, total area under the curve is also equal to 1, above the horizontal ie x axis. The density curve can be in uniform or non uniform type.

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Most popular questions from this chapter

Curving Test Scores A professor gives a test and the scores are normally distributed with a mean of 60 and a standard deviation of 12. She plans to curve the scores.

a. If she curves by adding 15 to each grade, what is the new mean and standard deviation?

b. Is it fair to curve by adding 15 to each grade? Why or why not?

c. If the grades are curved so that grades of B are given to scores above the bottom 70% and below the top 10%, find the numerical limits for a grade of B.

d. Which method of curving the grades is fairer: adding 15 to each original score or using a scheme like the one given in part (c)? Explain.

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.

Between 1.50 and 2.50.

Finding Bone Density Scores. In Exercises 37鈥�40 assume that a randomly selected subject is given a bone density test. Bone density 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 bone density test score corresponding to the given information. Round results to two decimal places.

If bone density scores in the bottom 2% and the top 2% are used as cutoff points for levels that are too low or too high, find the two readings that are cutoff values.

In Exercises 9鈥�12, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

In Exercises 9鈥�12, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
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