Chapter 10: Q. 70 (page 600)
What are the sample mean difference?
Short Answer
difference
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Chapter 10: Q. 70 (page 600)
What are the sample mean difference?
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.
In symbols, what is the random variable of interest for this test?
Use the following information to answer the next exercises: Indicate if the hypothesis test is for
a. independent group means, population standard deviations, and/or variances known
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
It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of females had a mean score of with a standard deviation of three, and a random sample of males had a mean score of with a standard deviation of four
Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Draw the graph of the p-value.
(a) a test of two proportions
(b) a test of two independent means
(c) a test of a single mean
(d) a test of matched pairs.
94. Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was . For teenage girls, it was . From past years, it is known that the population standard deviation for each group is . Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls.
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