Chapter 9 and 10 Practice - Anne Gloag's Math Page

Chapter 9 and 10 Practice

Provide an appropriate response. 1) The statement represents a claim. Write its complement and state which is H0 and which is HA. ? = 8.3

2) The statement represents a claim. Write its complement and state which is H0 and which is HA. p K 0.93

3) The statement represents a claim. Write its complement and state which is H0 and which is HA. < 8.2

4) The mean age of bus drivers in Chicago is 48.6 years. Write the null and alternative hypotheses.

5) The mean IQ of statistics teachers is greater than 160. Write the null and alternative hypotheses.

6) The mean score for all NBA games during a particular season was less than 92 points per game. Write the null and alternative hypotheses.

7) A candidate for governor of a particular state claims to be favored by at least half of the voters. Write the null and alternative hypotheses.

8) The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative hypotheses.

9) The dean of a major university claims that the mean time for students to earn a Master's degree is at most 4.2 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

10) Given H0: p L 80% and Ha: p < 80%, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

11) Given H0: ? K 25 and Ha: ? > 25, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

12) A researcher claims that 71% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

13) A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

14) A car maker claims that its new sub-compact car gets better than 49 miles per gallon on the highway. Determine whether the hypothesis test for this is left-tailed, right-tailed, or two-tailed.

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15) The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

16) An elementary school claims that the standard deviation in reading scores of its fourth grade students is less than 3.75. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

17) Given H0: ? K 12, for which confidence interval should you reject H0?

A) (13, 16)

B) (10, 13)

C) (11.5, 12.5)

18) Given H0: p L 0.45, for which confidence interval should you reject H0?

A) (0.40, 0.50)

B) (0.42, 0.47)

C) (0.32, 0.40)

19) The P-value for a hypothesis test is P = 0.034. Do you reject or fail to reject H0 when the level of significance is = 0.01?

20) The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject H0 when the level of significance is = 0.05?

21) Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance .

Right-tailed test z = 1.43 = 0.05

22) The P-value for a hypothesis test is P = 0.006. Do you reject or fail to reject H0 when the level of significance is = 0.01?

23) Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance .

Left-tailed test z = -2.05 = 0.05

The test statistic in a left-tailed test is z = -2.05.

24) Find the critical value and rejection region for the type of z-test with level of significance . Right-tailed test, = 0.01

25) Find the critical value and rejection region for the type of z-test with level of significance . Two-tailed test, = 0.01

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26) Find the critical value and rejection region for the type of z-test with level of significance .

Left-tailed test, = 0.05

27) Find the critical value and rejection region for the type of z-test with level of significance .

Left-tailed test, = 0.025

28) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim: ? > 28; = 0.05; = 1.2 Sample statistics: x = 28.3, n = 50

29) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim: ? J 35; = 0.05; = 2.7 Sample statistics: x = 34.1, n = 35

30) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim: ? K 47; = 0.01; = 4.3 Sample statistics: x = 48.8, n = 40

31) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim: ? = 1400; = 0.01; = 82 Sample statistics: x = 1370, n = 35

32) A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If = 0.05, test the fast food outlet's claim.

33) You wish to test the claim that ? > 33 at a level of significance of = 0.05 and are given sample statistics n = 50, x = 33.3. Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.

34) You wish to test the claim that ? J 14 at a level of significance of = 0.05 and are given sample statistics n = 35, x = 13.1. Assume the population standard deviation is 2.7. Compute the value of the standardized test statistic. Round your answer to two decimal places.

35) You wish to test the claim that ? = 1430 at a level of significance of = 0.01 and are given sample statistics n = 35, x = 1400. Assume the population standard deviation is 82. Compute the value of the standardized test statistic. Round your answer to two decimal places.

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36) Suppose you want to test the claim that ? = 3.5. Given a sample size of n = 40 and a level of significance of = 0.05, when should you reject H0 ?

37) Test the claim that ? > 18, given that , = 1.2, = 0.05 and the sample statistics are n = 50 and x = 18.3.

38) Test the claim that ? J 13, given that = 2.7, = 0.05 and the sample statistics are n = 35 and x = 12.1.

39) Test the claim that ? K 40, given that = 4.3, = 0.01 and the sample statistics are n = 40 and x = 41.8.

40) Test the claim that ? = 740, given that =82, = 0.01 and the sample statistics are n = 35 and x = 710

41) A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 31.7 ounces with a population standard deviation of 0.70 ounce. Use a 0.01 significance level to test the agency's claim that the brewery is cheating its customers.

42) A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the manufacturer's claim. Use = 0.05.

43) A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 36,000 miles. To check the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 35,630 miles with a population standard deviation of 1200 miles. At = 0.05, test the trucking firm's claim.

44) A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select one month. Their research yields the number of tickets issued for each day. The data are listed below. Assume the population standard deviation is 12.2 tickets. At = 0.01, test the group's claim.

70 48 41 68 69 55 70 57 60 83 32 60 72 58 88 48 59 60 56 65 66 60 68 42 57 59 49 70 75 63 44

45) Find the critical value and rejection region for the type of t-test with level of significance and sample size n.

Left-tailed test, = 0.1, n = 22

46) Find the critical value and rejection region for the type of t-test with level of significance and sample size n.

Right-tailed test, = 0.1, n = 35

47) Find the critical value and rejection region for the type of t-test with level of significance and sample size n.

Two-tailed test, = 0.05, n = 38

48) Find the standardized test statistic t for a sample with n = 12, x = 31.2, s = 2.2, and = 0.01 if H0: ? = 30. Round your answer to three decimal places.

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49) Find the standardized test statistic t for a sample with n = 15, x = 7.2, s = 0.8, and = 0.05 if H0: ? K 6.9. Round your answer to three decimal places.

50) Find the standardized test statistic t for a sample with n = 25, x = 28, s = 3, and = 0.005 if Ha: ? > 27. Round your answer to three decimal places.

51) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim ? = 24; = 0.01. Sample statistics: x = 25.2, s = 2.2, n = 12

52) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim ? K 6.4; = 0.05. Sample statistics: x = 6.7, s = 0.8, n = 15

53) Test the claim about the population mean ? at the level of significance . Assume the population is normally distributed.

Claim ? > 33; = 0.005. Sample statistics: x = 34, s = 3, n = 25

54) The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 5 minutes. A random sample of 20 waiting times has a mean of 3.7 minutes with a standard deviation of 2.1 minutes. At = 0.01, test the bus company's claim. Assume the distribution is normally distributed.

55) A local group claims that the police issue more than 60 speeding tickets a day in their area. To prove their point, they randomly select two weeks. Their research yields the number of tickets issued for each day. The data are listed below. At = 0.01, test the group's claim. 70 48 41 68 69 55 70 57 60 83 32 60 72 58

56) A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1400 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1390 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use = 0.05.

57) Determine whether the normal sampling distribution can be used. The claim is p > 0.015 and the sample size is n = 150.

58) Determine whether the normal sampling distribution can be used. The claim is p 0.675 and the sample size is n = 42.

59) Determine the standardized test statistic, z, to test the claim about the population proportion p 0.132 given ^

n = 48 and p = 0.11. Use = 0.05.

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