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Chapter 10: Q: 70 (page 600)
What is the sample mean difference?
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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.
Is this a right-tailed, left-tailed, or two-tailed test?
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.
Explain why you chose the distribution you did for the Exercise 10.56.
Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 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 years with a standard deviation of years. Of the 82 nonwhites, the mean life span was 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.
Explain why you chose the distribution you did for Exercise 10.24.
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 significance level.
What is the sample mean difference?
A study is done to determine if Company A retains its workers longer than Company B. Company A samples workers, and their average time with the company is five years with a standard deviation of Company B samples workers, and their average time with the company is with a standard deviation of The populations are normally distributed.
a. Are the population standard deviations known?
b. Conduct an appropriate hypothesis test. At the significance level, what is your conclusion?
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