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Chapter 9: Q.59 (page 540)
Assume the null hypothesis states that the mean is at least . Is this a left-tailed, right-tailed, or two-tailed test?
It is a left-tailed test if the null hypothesis states that the mean is at least
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A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use?
You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. State the null and alternative hypotheses.
The National Institute of Mental Health published an article stating that in any one-year period, approximately percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i.
ii.role="math" localid="1649760873126"
iii.
g. Calculate role="math" localid="1649760901479" Show the formula set-up.
h. State the distribution to use for the hypothesis test.
i. Find the -value.
j. At a pre-conceived , what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
A particular brand of tires claims that its deluxe tire averages at least miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be . A survey of owners of that tire design is conducted. From the tires surveyed, the mean lifespan was miles with a standard deviation of miles. Using alpha =, is the data highly inconsistent with the claim?
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.
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