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Chapter 11: Q.62 (page 658)

The standard deviation of heights for students in a school is 0.81. A random sample of 50students is taken, and the standard deviation of heights of the sample is 0.96. A researcher in charge of the study believes the standard deviation of heights for the school is greater than 0.81.

What type of test should be used?

Short Answer

Expert verified

A test of single variance should be used.

Step by step solution

01

Given Information

The standard deviation of heights for students in a school is 0.81. A random sample of 50 students is taken, and the standard deviation of heights of the sample is 0.96.

02

Explanation

The standard variation of heights for kids in a school, according to the information, is 0.81.

The standard deviation of the sample heights is 0.81, and a random sample of 50pupils is collected.

When the population variance is similar to certain selected values, we learnt that chi-square analysis for single variance can be applied.

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Most popular questions from this chapter

Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200passengers is taken. Table 11.31 shows the results. The railroad wants to know if a passenger鈥檚 choice in ticket class is independent of the distance they must travel.

Traveling DistanceThird classSecond classFirst classTotal1-100miles2114641101-200miles1816842201-300miles16171548301-400miles12.00%142147401-500miles661022Total736760200

State the hypothesis:

H0:

H伪:

Consumers may be interested in whether the cost of a particular calculator varies from store to store. Based on surveying 43 stores, which yielded a sample mean of \(84 and a sample standard deviation of \)12, test the claim that the standard deviation is greater than $15.

Determine the appropriate test to be used in the next three exercises.

A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.


The marital status distribution of the U.S. male population, ages 15 a nd older, is as shown in Table

Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population. Calculate the frequency one would expect when surveying 400 people. Fill in Table 11.35, rounding to two decimal places.

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.

U.S. Ski AreaBeginnerIntermediateAdvanced
Tahoe203040
Utah10
3060
Colorado1040 50

Table11.43
See all solutions

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