All you need to do is explain how to solve each using the TI-84 Plus (You can download a free 90 day version online for your PC).

Correct Answers:

74) B, 75) B, 76) D, 77) C, 78) A, 79) D, 80) C, 81) B, 82) A, 83) B, 84) B, 85) B, 86) A, 87) A, 88) C, 89) A, 90) A

74) In a survey of 368 registered voters, 180 of them wished to see Mayor Waffleskate lose her next election. Find a point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated.

A) 0.5109 B) 0.4891 C) 180 D) 0.02606

75) In a survey of 300 registered voters, 175 of them wished to see Mayor Waffleskate lose her next election. Construct a 98% confidence interval for the proportion of registered voter who want to see Mayor Waffleskate defeated.

A) (0.429, 0.737) B) (0.517, 0.650) C) 0.528, 0.639) D) (0.555, 0.612) 76) A researcher wants to construct a 98% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.65. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.1? A) 88 B) 6 C) 13 D) 124

77) A researcher wants to construct a 98% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08? A) 17 B) 151 C) 212 D) 8 78) A test is made of H^0: u = 47 versus H1^: u > 47. A sample of size n = 75 is drawn, and x = 48. The population standard deviation is o = 22. Compute the value of the test statistic z. A) 0.39 B) 0.65 C) 1.85 D) 0.05

79) A sample of 95 chewable vitamin tablets have a sample mean of 284 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet exceeds 283 milligrams. State the appropriate null and alternate hypotheses.

A) H^0: u > 284, H^1: u = 284

B) H^0: u = 283, H^1: u 283

C) H^0: u < 284, H^1: u > 284

D) H^0: u = 283, H^1: u > 283

80) A garden supplier claims that its new variety of giant tomato produces fruit with a mean weight of 36 ounces. A test is made of H^0: u = 36 versus H^1: u 36. The null hypothesis is rejected. State the appropriate conclusion.

A) The mean weight is equal to 36 ounces.

B) There is not enough evidence to conclude that the mean weight differs from 36 ounces.

C) The mean weight is not equal to 36 ounces.

D) There is not enough evidence to conclude that the mean weight is 36 ounces.

81) A test is made of H^0: u = 56 versus H^1: u 56. A sample of size n = 75 is drawn, and x = 61. The population standard deviation is o = 24. Compute the value of the test statistic z and determine if H0 is rejected at the a = 0.05 level.

A) 0.21, H^0; rejected

B) 1.80, H^0; not rejected

C) 0.21, H^0; not rejected

D) 1.80, H^0; rejected 82) A test of H^0 : u = 52 versus H^1 : u < 52 is performed using a significance level of a = 0.01. The P-value is 0.073. Is H^0 rejected?

A) No B) Yes C) It cannot be determined.

83) A test is made of H^0 : u = 63 versus H^1 : u> 63. A sample of size n = 74 is drawn, and x = 61. The population standard deviation is o = 29. Compute the value of the test statistic z. A) 0.28 B) -0.59 C) -0.07 D) -3.19

84) A test of H^0 : u = 55 versus H^1 : u 55 is performed using a significance level of a = 0.01. The P-value is 0.139. Is H^0 rejected?

A) It cannot be determined. B) No C) Yes

85) A test of H^0: u = 64 versus H^1: u 64 is performed using a significance level of a = 0.01. The value of the test statistic is z = -2.45. Is H^0 rejected?

A) It cannot be determined. B) No C) Yes

86) A market research firm reported that the mean annual earnings of all family practitioners in the United States was $179,920. A random sample of 36 family practitioners in New York that month had mean earnings of x = $197,064 with a standard deviation of $35,478. You wish to test whether family practitioners in New York make more than the national average. State a conclusion regarding H^0. Use the a = 0.1 level of significance.

A) Reject H^0: the mean annual earnings appear to be greater than the national average.

B)Do not reject H^0 : there is insufficient evidence to conclude that the mean annual earnings are greater than the national average.

C) There is not enough information to draw a conclusion.

87) The mean annual tuition and fees for a sample of 14 private colleges was $38,100 with a standard deviation of $6000 A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $33,900. State a conclusion regarding H^0. Use the a = 0.01 level of significance.

A) Do not reject H^0. There is insufficient evidence to conclude that the mean annual tuition and fees is different from $33,900.

B) There is not enough information to draw a conclusion.

C) Reject H^0. The mean annual tuition and fees appears to be different from $33,900. 88) In a simple random sample of size 77, there were 20 individuals in the category of interest. Compute the sample proportion p. A) 97 B) 0.351 C) 0.260 D) 0.740

89) In a simple random sample of size 64, there were 32 individuals in the category of interest. It is desired to test H^0: p = 0.36 versus H^1: p < 0.36. Do you reject H^0 at the 0.05 level?

A) No B) Yes

90) A poll surveyed 774 video gamers, and 209 of them said they prefer playing games on a console rather than a computer. An executive at a game console company claims that more than 25% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use the a = 0.05 level of significance.

A) No B) No conclusion is possible. C) Yes