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Chapter 9: Q. 28 (page 538)
You are performing a hypothesis test of a single population mean using a Student鈥檚 -distribution. The data are not from a simple random sample. Can you accurately perform the hypothesis test?
No, we cannot accurately perform hypothesis test because the knowledge aren't from a easy random sample.
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A normal distribution has a standard deviation of .We want to verify a claim that the mean is greater than.
A sample of is taken with a sample mean of.
The-value is.
Draw a graph that shows the-value.
Suppose the null hypothesis, , is: a patient is not sick. Which type of error has the greater consequence, Type or Type?
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization
thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they
spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
The null and alternative hypotheses are:
The mean throwing distance of a football for Marco, a high school freshman quarterback, is yards, with a standard deviation of two yards. The team coach tells Marco to adjust his grip to get more distance. The coach records the distances for throws. For the throws, Marco鈥檚 mean distance was yards. The coach thought the different grip helped Marco throw farther than yards. Conduct a hypothesis test using a preset . Assume the throw distances for footballs are normal.
First, determine what type of test this is, set up the hypothesis test, find the-value, sketch the graph, and state your conclusion.
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of U.S. mothers who recently weaned their children. The mean weaning age was nine monthsrole="math" localid="1649394170256" with a standard deviation of months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
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