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1.
Clinical trials involved treating fly patients with Tamiflu, which is a medicine intended to attack the influenza virus and stop it from causing fly symptoms. Among 724 patients treated with Tamiflu, 72 experience nausea as an adverse reaction. Use a 0.05 significance level to test the claim that the rate of nausea is greater than the 6% rate experience by fly patients given a placebo. Does nausea appear to be a concern for those given the Tamiflu treatment?: Ch. 8.3 p-value

2.
Data 16 lists the measured greenhouse gas emissions from 32 different cars. The sample has a mean of 7.78 tons and a standard deviation of 1.08 tons. (The amounts are in tons per years, expressed as CO2 equivalents.) Use a 0.05 significance level to test the claim that all cars have a mean greenhouse gas emission of 8.00 tons.: Ch. 8.5

3.
The examples in this section involved the claim that post-1983 pennies have weights with a standard deviation less than 0.0230 g. Data 20 includes the weights of a simple random sample of pre-1983 pennies, and that sample has a standard deviation of 0.03910 g. Use a 0.05 significance level to test the claim that the pre-1983 pennies have weights with a standard deviation greater than 0.0230 g. Based on these results and those found in Example 1, does it appear that weights of pre-1983 pennies vary more than those of post-1983 pennies.: Ch. 8.6

4.
The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor. Those heights have a mean of 70.0 in. and a standard deviation of 1.5 in. Use a 0.05 significance level to test the claim that supermodels have heights with a standard deviation less than 2.5 in., which is the standard deviation of heights of women from the general population. What does the conclusion reveal about heights of supermodels?: Ch. 8.6

5.
In an analysis investigating the usefulness of pennies, the cents portions of 100 randomly selected checks are recorded. The sample has a mean of 23.8 cents and a standard deviation of 32.0 cents. If the amounts of 0 cents to 99 cents are all equally likely, the mean is expected to be 49.5 cents. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 49.5 cents. What does the results suggest about the cents portions of the checks?: Ch. 8.5

6.
In a Pew research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level to test the claim that 75% of adults say that is is morally wrong to not report all income on tax returns.: Ch. 8.3 p-value

7.
In a study of 420,095 Danish cell phone users, 135 subjects developed cancer of the brain or nervous system. Test the claim of a once popular belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, us a 0.005 significance level. Should cell phone users be concerned about cancer of the brain or nervous system?: Ch. 8.3

8.
In the manual "How to Have a Number One the Easy Way", it is stated that a song must be "no longer than three minutes and thirty seconds" (or 210 seconds). A simple random sample of 40 current hit songs results in a mean length of 252.5 sec. Assume that the standard deviating of song lengths is 54.5 sec. Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?: Ch. 8.4

9.
Researches collected a simple random sample of the times that 81 college students required to earn their bachelor's degrees. The sample has a mean of 4.8 years and a standard deviation of 2.2 years. Use a 0.05 significance level to test the claim that the mean time for all college students is greater than 4.5 years.: Ch. 8.5

10.
A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 13.2 mg and a standard deviation of 3.7 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters?: Ch. 8.5

11.
A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a standard deviation of 3.7 mg. Use a 0.05 significance level to test the claim that the tar content of filtered 100 mm cigarettes has a standard deviation different from 3.2 mg, which is the standard deviation of unfiltered king size cigarettes.: Ch. 8.6

12.
A simple random sample of 40 salaries of NCAA football coaches in the NCAA has a mean of $416,953. The standard deviation of all salaries of NCAA football coaches is $463, 364. Use a 0.05 significance level to test the claim that the mean salary of a football coach in the NCAA is less than $500,000.: Ch. 8.4 p-value

13.
A simple random sample of pulse rates of 40 women results in a standard deviation of 12.5 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.: Ch. 8.6

14.
A simple random sample of weights of 19 green M&M's has a mean of 0.8635 g. Assume that "o" is known to be 0.0565 g. Use a 0.05 significance level to test the claim that the mean weight of all green M&M's is equal to 0.8535 g, which is the mean weight required so that M&M's have the weight printed on the package label. Do green M&M's appear to have weights consistent with the package label?: Ch. 8.4 p-value

15.
A student of the author measured the sitting heights of 36 male classmate friends, and she obtained a mean of 92.8 cm. The population of males has sitting heights with a mean of 91.4 cm and a standard deviation of 3.6 cm. Use a 0.05 significance level to test the claim that males at her college have a mean sitting height difference from 91.4 cm. Is there anything about the sample date suggesting that the methods of this section should not be used?: Ch. 8.4

16.
Tests of older baseballs showed that when dropped 24 ft onto a concrete surface, they bounced an average of 235.8 cm. In a test of 40 new baseballs, the bounce heights had a mean of 235.4 cm. Assume that the standard deviation of bounce heights is 4.5 cm. Use a 0.05 significance level to test the claim that the new baseballs have bounce heights with a mean different from 235. 8 cm. Are the baseballs different?: Ch. 8.4

17.
Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results, should polygraph results be prohibited as evidence in trials?: Ch. 8.3

18.
The U.S. Mint has a specification that pennies have a mean weight of 2.5 g. Data 20 lists the weights (in grams) of 37 pennies manufactured after 1983. Those pennies have a mean weight of 2.49910 g and a standard deviation of 0.01648 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the pennies appear to conform to the specifications of the U.S. Mint?: Ch. 8.5

19.
When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb. Assume that the standard deviation of all such weight changes is "o"=4.9 lb and use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. Based on these results, does the diet appear to be affective? Does the diet appear to have practical significance?: Ch. 8.4 p-value

20.
When testing gas pumps in Michigan for accuracy, fuel-quality enforcement specialists tested pumps and found that 1299 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5686 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of Michigan gas pumps are inaccurate. From the perspective of the consumer, does that rate appear to be low enough?: Ch. 8.3 p-value

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