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Chapter 6: Q. 2 (page 286)

The percentage of all possible observations of a variable that lie between 25 and 50 equals the area under its density curve between___ and ___expressed as a percentage.

Short Answer

Expert verified

The area under its density curve between 25 and 50 , expressed as a percentage.

Step by step solution

01

Given Information 

The blanks in the given statement.

02

Explanation 

Consider the variable to be the density curve.

The proportion of all possible observations of a variable that falls between 25and50percent.

And 50is the fraction of the area under its density curve that lies between 25and 50.

Since the matching area under the curve given as a percentage equals the percentage of all possible observations of the variable inside the specific range.

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Most popular questions from this chapter

In this section, we mentioned that the total area under any curve representing the distribution of a variable equals . Explain why.

According to Table II, the area under the standard normal curve that lies to the left of 1.96 is 0.975. Without further consulting Table II, determine the area under the standard normal curve that lies to the left of -1.96. Explain your reasoning.

What is a density curve, and why are such curves important?

State two of the main reasons for studying the normal distribution.

28. Verbal GRE Scores. The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document GRE Guide to the Use of Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE have mean 150points and standard deviation 8.75points. Assuming that these scores are (approximately) normally distributed,

a. obtain and interpret the quartiles.

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