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Chapter 11: Q 61 (page 658)

Test of a Single Variance

Use the following information to answer the next three exercises: An archer's standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.

Is this a right-tailed, left-tailed, or two-tailed test?

Short Answer

Expert verified

The test is left-tailed test

Step by step solution

01

Given Information

Archer's standard deviation of hits is 6

Observer's claim is standard deviation is less than 6

02

Explanation

From the provided data, the archer's standard deviation is six. Therefore, the variance should be62=36. Therefore, the null hypothesis is σ2=36

However, according to the observer, the standard deviation is less than six. As a result, the variance, in that case, is less than 36. As a result, σ2<36is the alternate hypothesis.

The area under the curve indicates that the distribution is left-tailed when the normal distribution is drawn and the variance is 36 or less.

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Most popular questions from this chapter

The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.

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 College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that 300recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table 11.45shows the data. Conduct a test of independence.

Major<\(50,000
\)50,000-\(68,999\)69,000+
English5
205
Engineering10
3060
Nursing10
1515
Business10
20
30
Psychology20
3020

Table11.45

State the null and alternative hypotheses?

df=-----

A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27

The actual distribution for a class of 20 is in table 11.28

X2test statistic is -------
See all solutions

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