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Chapter 6: Q. 6.77 (page 269)

Determinez0.33

Short Answer

Expert verified

The z-score under the usual normal curve with the area 0.33 to its right is around 0.67.

Step by step solution

01

Given information

The given area is0.33.

02

Explanation

The given area is 0.33

The z-score with 0.33the area under the standard normal curve to its right is equal to the z-score with 1-0.33=0.67the area to its left.

Begin by looking for the 0.67area in the table's body. The appropriate z-score will be 0.44.

As a result, the z-score under the usual normal curve with the area 0.33to its right is around 0.44, which may be depicted as

The relevant portion of the standard normal table is shown below

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Most popular questions from this chapter

11. Answer true or false to each statement. Explain your answers.

a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.

b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.

As reported in Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with mean 61minutes and standard deviation 9 minutes.

Part (a): Determine the percentage of finishers who have times between 50and 70minutes.

Part (b): Determine the percentage of finishers who have times less than 75minutes.

Part (c): Obtain and interpret the 40th percentile for the finishing times.

Part (d): Find and interpret the 8th decile for the finishing times.

Sketch the normal distribution with

(a)渭=3;蟽=3(b)渭=1;蟽=3(c)渭=3;蟽=1

Explain how to obtain normal scores from Table III in Appendix A when a sample contains equal observations.

A variable is normally distributed with mean 10and standard deviation 3.

Part (a): Determine and interpret the quartiles of the variable.

Part (b): Obtain and interpret the seventh percentile.

Part (c): Find the value that 35%of all possible values of the variable exceed.

Part (d): Find the two values that divide the area under the corresponding normal curve into a middle area of 0.99and two outside areas of 0.005. Interpret your answer.
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