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| BB In a report, the average weight of female student athletes is stated as 143 pounds with a standard deviation of 6 pounds. The average weight of a random sample of 50 female student athletes was found as 145 pounds. At α = 0.01, test the report. BB |
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| BB The average time a person spoke over the cell phone while driving in a day was reported as more than 14.5 minutes. A researcher wished to test this report. He selected a sample of 100 persons for his study and found that the mean was 15.6 minutes. At α = 0.01, what will be the conclusion of the researcher if the variance of the population was 4 square minutes? BB |
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| BB The report of a municipal corporation states that the average monthly electricity bill of a household in the city is more than $73. To test this report, a researcher selected a sample of 100 residential electricity bills and found the mean as $74.50 with a standard deviation as $15. At α = 0.01, what will be the finding of the researcher? BB |
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BB It is reported that the average monthly water consumption of the consumer connection in a city is $20 in the summer with a standard deviation of $3. To test this report, a statistician selected a sample of 120 residential water bills and found the average as $32. Test the report at α = 0.01.
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BB From a random sample of 36 restaurents in a particular city, the average cost per dinner was reported as $26.50. What is the test value if the population mean is $25 with standard deviation of $4.40 and α = 0.01? Can we say that the sample comes from this population?
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| BB Average weekly charges of child care centers for infants is reported as $198. To test this report, a researcher collected data from 40 child care centers and found the average as $199.80 and standard deviation as $5. At α = 0.01, what will be the conclusion of the researcher? BB |
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BB A survey report states that the average weekly salary of a restaurant cook is more than $428. A random sample of 32 restaurants are selected and the salaries of the cooks are as shown. Based on the sample report , comment on the survey report at α = 0.005.
$420 $425 $428 $432 $436 $440 $426 $430
$440 $438 $440 $426 $448 $443 $440 $438
$427 $436 $426 $438 $441 $436 $440 $442
$448 $428 $436 $448 $449 $438 $440 $426
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| BB A manufacturer of incandescent bulbs claims that the average life time of a bulb is more than 1,000 hours with a standard deviation of 1.6 hours. The inspection department selected a random sample of 36 incandescent bulbs and found their average life time as 1,001.50 hours. At α = 0.005, what was the finding of the inspection department? BB |
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BB It is reported by a social organization that students watch 2.5 movies in a month in movie theaters on an average. To test this report, a school teacher collected number of movies watched by 40 students. At α = 0.01, what is the test value? Is the report of the social organization correct?
2 4 1 0 2 1 3 4 0 2 1 1 1 2 3 4 0 3 2 2
3 3 4 0 1 2 2 3 3 4 4 2 3 1 2 4 3 4 0 2 BB |
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| BB In a hypothesis testing, the test value z is 2.83. Find the p-value for a right tailed test. BB |
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BB In a hypothesis testing, the test value z is - 1.56. Find the p-value for a left tailed test.
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| BB In a hypothesis testing, the test value z is 1.65. Find the p- value for a two tailed test. BB |
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BB For what p-value, the null hypothesis is not rejected in a hypothesis testing at α = 0.05 for a right tailed test.
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BB For what p-value, the null hypothesis is rejected in a hypothesis testing at α = 0.01 for one tailed test.
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BB Which of the following is/are true for the null hypothesis H0 in a hypothesis testing?
I. Reject H0 if p-value is less than α.
II. Reject H0 if p-value is greater than α.
III. Do not reject H0 if p-value is greater than α.
IV. Do not reject H0 if p-value is less than α. BB |
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BB The manager of a company estimated that the average typing speed of the data entry operators is above 60 words per minute with a standard deviation of 3.6 words per minute. Average typing speed of a sample of 40 operators was observed as 61.5 words per minute. Find p-value for the test. Is there enough evidence to support the manager estimation at α = 0.01?
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BB A survey reports that the average weight loss after a 15-week program of regular aerobic exercise was 7 pounds with a standard deviation of 4 pounds. To test this report, a statistician selected 40 people doing regular aerobic exercise and found the average weight loss as 8 pounds. Find the p-value for the test. Is there enough evidence to reject the survey report at α = 0.05?
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BB A professor claims that the average reading speed of a university student is above 240 words per minute. The average reading speed of a sample of 40 students was observed as 242 words per minute with a standard deviation of 5 words per minute. Find the p-value for the test. Is there enough evidence to support the professor's claim at α = 0.01?
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BB A survey reports that the average number of channels viewed daily by people above 55 years of age is 4.30. To test this report, a statistician selected 100 people above 55 years old and found their average as 4.36 per day with a standard deviation of 0.4 per day. Find the p-value for the test. Is there enough evidence to reject the survey report at α = 0.05?
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BB A school teacher estimated that the average score of the students in a math quiz is less than 20. A sample of 30 students is selected for the math quiz and their scores are as shown. Find the p-value for the test. Is there enough evidence to support the teacher's estimate at α = 0.01?
15 18 20 21 22 16 18 21 20 23 19 14 17 19 20
22 23 17 18 19 20 19 22 17 19 20 21 22 24 20 BB |
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BB A chocolate manufacturing company reported that milk chocolate bars of 1.5 to 1.6 ounce have 230 calories on an average. A researcher selected a sample of 100 chocolate bars and found the average as 230.4 calories and a standard deviation of 2.3 calories. Find the p-value for the test. Is there enough evidence to reject the manufacturer's report at α = 0.01?
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BB In a statistical hypothesis testing, the standard deviation of the population is 8, H0: μ ≤ 100 and H1: μ > 100. Which of the following is true for the sample mean (X¯) to reject the null hypothesis(H0) at α = 0.01 for a sample size of 64?
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BB A company produces chain ring bolts and the pack should contain on an average 10 grams with a standard deviation of 1.3 grams. The mean weight of a sample of 40 packs is observed as 9.4 grams. Find the p-value for the test. Can it be concluded that the company is filling the packs other than 10 grams at α = 0.02?
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BB The average income of 50 taxi drivers was found as $26,358. Find the test value for a population mean of $25,767 and standard deviation of $1105. Does the sample come from this population? α = 0.01.
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BB In a statistical hypothesis testing, H0: μ = 5 and H1: μ ≠ 5. For what values of z, at α = 0.02, the null hypothesis (H0) is rejected?
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