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Chapter 9: Q.21 (page 537)
Which two distributions can you use for hypothesis testing for this chapter?
A student's t-distribution or a normal distribution.
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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.
Registered nurses earned an average annual salary of \(69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than \)69,110 for California nurses. The sample average was \(71,121 with a sample standard deviation of \)7,489. Conduct a hypothesis test.
In , Life Magazine reported that the year-old mother of three worked, on average, an hour week. Recently,
many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average
work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean
work week has increased. women were surveyed with the following results. The sample mean wasthe sample
standard deviation was ten. Does it appear that the mean work week has increased for women at the role="math" localid="1650381098713" level?
A sleeping bag is tested to withstand temperatures of. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be inches with a standard deviation of inches. At the level, can it be concluded that the mean rainfall was below the reported average? What if ? Assume the amount of summer rainfall follows a normal distribution.
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