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Chapter 10: Q. 87 (page 602)

Conduct a hypothesis test to answer the next two exercises.
87. The exact distribution for the hypothesis test is:
a. the normal distribution
b. the Student's t-distribution
c. the uniform distribution
d. the exponential distribution

Short Answer

Expert verified

The exact distribution for the hypothesis test is option (b) the Student's t-distribution.

Step by step solution

01

To conduct a hypothesis, to exact distribution for the hypothesis test.

Because the data is provided but the population for standard deviation is not, the distribution will be t.
As a result, the answer is the Student's t-distribution.

Hence, option (b) is correct.

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Most popular questions from this chapter

A concerned group of citizens wanted to know if the proportion of forcible rapes in Texas was different in 2011

than in 2010.Their research showed that of the 113,231violent crimes in Texas in 2011,7622of them were forcible rapes. In 2011,7439of the 104,873violent crimes were in the forcible rape category. Test at a 5%significance level.

Answer the following questions:

a. Is this a test of two means or two proportions?

b. Which distribution do you use to perform the test?

c. What is the random variable?

d. What are the null and alternative hypothesis? Write the null and alternative hypothesis in symbols.

e. Is this test right-, left-, or two-tailed?

f. What is the p-value?

g. Do you reject or not reject the null hypothesis?

h. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that

____________.

The known standard deviation in salary for all mid-level professionals in the financial industry is \(11,000. Company A and Company B are in the financial industry. Suppose samples are taken of mid-level professionals from Company A and from Company B. The sample mean salary for mid-level professionals in Company A is \)80,000. The sample mean salary for mid-level professionals in Company B is $96,000. Company A and Company B management want to know if their midlevel professionals are paid differently, on average.

Indicate if the hypothesis test is for :-

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b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

Calculate the test statistic and p-value.

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is

effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects

have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level.

What is the test statistic?

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

19. Is this a test of means or proportions?
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