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Unformatted text preview: tistics 96. Determine the 95% confidence interval for the difference between two population means
where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18, and sample 2 has data: 13, 19,
14, 17, 21, 14, 15, 10, 13, 15. (Assume equal population variances)
A. (0.16 4.76)
B. (0.58 5.18)
C. (0.01 4.59)
D. (0.56 4.04) 97. Calculate the t statistic for testing equality of means where
5.4, s22 = 5.2, n1= 6, n2 = 7. (Assume equal population variances)
A. 2.42
B. 1.05
C. 2.63
D. 4.86 1 = 8.2, 2 = 11.3, s12 = 98. Find a 99 percent confidence interval for the difference between means n1 = 49, n2 = 49,
2
2
= 87,
2 = 92, σ1 = 13 and σ2 = 15.
A. (12.30 2.30)
B. (6.47 3.53)
C. (6.94 3.05)
D. (5.57 4.43)
1 99. Let p1 represent the population proportion of U.S. Senate and Congress (House of
Representatives) democrats who are in favor of a new modest tax on "junk food". Let p2
represent the population proportion of U.S. Senate and Congress (House of Representative)
republicans who are in favor of a new modest tax on "junk food". Out of the 265 democratic
senators and congressman 106 of them are in favor of a "junk food" tax. Out of the 285
republican senators and congressman only 57 of them are in favor of a "junk food" tax. Find a
95 percent confidence interval for the difference between proportions l and 2.
A. (0.197 0.203)
B. (0.163 0.238)
C. (0.108 0.292)
D. (0.125 0.275) 1841 Chapter 01  An Introduction to Business Statistics 100. Let p1 represent the population proportion of U.S. Senate and Congress (House of
Representatives) democrats who are in favor of a new modest tax on "junk food". Let p2
represent the population proportion of U.S. Senate and Congress (House of Representative)
republicans who are in favor of a new modest tax on "junk food". Out of the 265 democratic
senators and congressman 106 of them are in favor of a "junk food" tax. Out of the 285
republican senators and congressman only 57 of them are in favor of a "junk food" tax. At
= .01, can we conclude that the proportion of democrats who favor "junk food" tax is more
than 5% higher than proportion of republicans who favor the new tax?
A. Yes
B. No 101. A fast food company uses two managementtraining methods. Method 1 is a traditional
method of training and Method 2 is a new and innovative method. The company has just hired
31 new management trainees. 15 of the trainees are randomly selected and assigned to the
first method, and the remaining 16 trainees are assigned to the second training method. After
three months of training, the management trainees took a standardized test. The test was
designed to evaluate their performance and learning from training. The sample mean score
and sample standard deviation of the two methods are given below. The management wants to
determine if the company should implement the new training method. Write the null hypothesis.
A.
B.
C.
D. 1842 Chapter 01  An Introduction to Business Statistics 102. A fast food company uses two managementtraining methods. Method 1 is a traditional
method of training and Method 2 is a new and innovative method. The company has just hired
31 new management trainees. 15 of the trainees are randomly selected and assigned to the
first method, and the remaining 16 trainees are assigned to the second training method. After
three months of training, the management trainees took a standardized test. The test was
designed to evaluate their performance and learning from training. The sample mean score
and sample standard deviation of the two methods are given below. The management wants to
determine if the company should implement the new training method. Write the alternative hypothesis.
A.
B.
C.
D. 103. A fast food company uses two managementtraining methods. Method 1 is a traditional
method of training and Method 2 is a new and innovative method. The company has just hired
31 new management trainees. 15 of the trainees are randomly selected and assigned to the
first method, and the remaining 16 trainees are assigned to the second training method. After
three months of training, the management trainees took a standardized test. The test was
designed to evaluate their performance and learning from training. The sample mean score
and sample standard deviation of the two methods are given below. The management wants to
determine if the company should implement the new training method. What is the absolute value of the rejection point (critical value of the test statistic) at α = .05?
A. 2.045
B. 1.645
C. 1.699
D. 1.696 1843 Chapter 01  An Introduction to Business Statistics 104. A fast food company uses two managementtraining methods. Method 1 is a traditional
method of training and Method 2 is a new and innovative method. The company has just hired
31 new management trainees. 15 of the trainees are randomly selected and assigned to the
first method, and the remaining 16 trainees are a...
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