Speeding Tickets A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. The following data show the number of speeding tickets issued each day for several days. Assume σ is 13.42. Is there enough evidence to reject the motorist's claim at α=0.10? Use the P-value method. Assume that the variable is normally distributed. Use a graphing calculator. 56 48 52 48 66 44 54 58 87 48 59 60 56 66 68 42 33 22 63 49 73 75 42 63 57 72 62 48 44 Find the P-value. Round to four decimals
Speeding Tickets A motorist claims that the South Boro Police issue an average of
60 speeding tickets per day. The following data show the number of speeding tickets issued each day for several days. Assume σ is 13.42. Is there enough evidence to reject the motorist's claim at
α=0.10? Use the P-value method. Assume that the variable is
56 48 52 48 66 44 54 58 87 48 59 60
56 66 68 42 33 22 63 49 73 75 42 63
57 72 62 48 44
Find the P-value. Round to four decimals
Farm Sizes Ten years ago, the average acreage of farms in a certain geographic region was 65 acres. The standard deviation of the population was 7 acres. A recent study consisting of 26 farms showed that the average was 62.6 acres per farm. Test the claim, at α=0.01, that the average has not changed by finding the P-value for the test. Assume σ has not changed and the variable is normally distributed. Use a graphing calculator.
Find the P-value. Round the answer to at least four decimal places.
Breaking Strength of Cable A special cable has a breaking strength of
800 pounds. The standard deviation of the population is 12 pounds. A researcher selects a sample of 19 cables and finds that the average breaking strength is 795 pounds. Can he reject the claim that the breaking strength is 800 pounds? Use the P-value method with alpha= 0.05 level of significance. Assume that the variable is normally distributed. Use a graphing calculator.
Find the P-value. Round the answer to at least four decimal places.
Medical School Applications A medical college dean read that the average number of applications a potential medical school student sends is 7.8. She thinks that the mean is lower. So she selects a random sample of 32 applicants and asks each how many medical schools they applied to. The mean of the sample is 6.8. The population standard deviation is 2.6. Test her claim at α=0.05. Assume that the variable is normally distributed. Use the P-value method with a graphing calculator
Find the P-value. Round the answer to at least four decimal places..
Copy Machine Use A store manager hypothesizes that the average number of pages a person copies on the store's copy machine is less than 40. A sample of 36 customers' orders is selected. At α=0.10, is there enough evidence to support the claim using the P-value method? Assume σ is 30.9. Use a graphing calculator.
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32 |
29 |
49 |
21 |
24 |
72 |
70 |
21 |
85 |
61 |
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42 |
15 |
27 |
113 |
36 |
37 |
58 |
82 |
80 |
51 |
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122 |
21 |
49 |
36 |
43 |
61 |
17 |
9 |
9 |
5 |
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4 |
1 |
2 |
2 |
1 |
8 |
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Soft Drink Consumption A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 58 randomly selected people, the mean of the yearly consumption was 53.1 gallons. The standard deviation of the population is 3.5
gallons. On the basis of the P-value, is the researcher's claim valid at
α=0.02? Use a graphing calculator.
Find the P-value. Round the answer to at least four decimal places.
P-value=
Prison Sentences The average length of prison term in the United States for white collar crime is 34.9 months. A random sample of 40 prison terms indicated a mean stay of 28.8 months with a standard deviation of 8.9 months. At α=0.01, is there sufficient evidence to conclude that the average stay differs from 34.9 months? Use the
P-value method. Use a graphing calculator.
Find the P-value. Round the answer to at least four decimal places.
P-value=
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