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Chapter 10: Q. AP3.25 (page 704)
Suppose the null and alternative hypothesis for a significance test are defined as
H0: 渭=H0 : 渭=
Ha: 渭<Ha : 渭<
Which of the following specific values for Ha will give the highest power? a. 渭=
b. 渭=
c. 渭=
d. 渭=
e. 渭=
The correct option is - (a)will give the highest power .
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Happy customers As the Hispanic population in the United States has grown, businesses have tried to understand what Hispanics like. One study interviewed separate random samples of Hispanic and Anglo customers leaving a bank. Customers were classified as Hispanic if they preferred to be interviewed in Spanish or as Anglo if they preferred English. Each customer rated the importance of several aspects of bank service on a 10- point scale.25 Here are summary results for the importance of 鈥渞eliability鈥� (the accuracy of account records, etc.):
Researchers want to know if there is a difference in the mean reliability ratings of all Anglo and Hispanic bank customers.
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.
b. Check that the conditions for performing the test are met.
According to sleep researchers, if you are between the ages of and years old, you need hours of sleep to function well. A simple random sample of students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was hours with a standard deviation of hours. If we are interested in whether students at this high school are getting too little sleep, which of the following represents the appropriate null and alternative hypotheses ?
Starting in the , medical technology has enabled babies with very low birth weight (VLBW, less thangrams, or about 3.3 pounds) to survive without major handicaps. It was noticed that these children nonetheless had difficulties in school and as adults. A long-term study has followed 242 randomly selected VLBW babies to age years, along with a control group of 233 randomly selected babies from the same population who had normal birth weight.
a. Is this an experiment or an observational study? Why?
b. At age of the VLBW group and 193 of the control group had graduated from high school. Do these data provide convincing evidence at the 伪=0.05 significance level that the graduation rate among VLBW babies is less than for normal-birth-weight babies?
A random sample of New York State voters included Republicans, while a random sample of California voters producedRepublicans. Which of the following represents the confidence interval for the true difference in the proportion of Republicans in New York State and California?
a.
b.
c. (
d.
e.
National Park rangers keep data on the bears that inhabit their park. Here is a histogram of the weights of bears measured in a recent year:
Which of the following statements is correct?
a. The median will lie in the interval , and the mean will lie in the interval.
b. The median will lie in the interval, and the mean will lie in the interval
c. The median will lie in the interval and the mean will lie in the interval .
d. The mean will lie in the interval and the median will lie in the interval
e. The mean will lie in the interval and the median will lie in the interval .
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