Unformatted text preview: usiness Statistics 83. Consider the following calculations for a oneway analysis of variance from a completely
randomized design with 20 total observations.
MSE = 101.25
overall = 39 1 = 33 2 = 43 3 = 49 = 31
Compute a 95% confidence interval for the first treatment mean.
A. (12.75 53.25)
B. (25.14 40.86)
C. (23.46 42.54)
D. (20.51 45.49)
4 84. Consider the following calculations for a oneway analysis of variance from a completely
randomized design with 20 total observations.
MSE = 101.25
overall = 39 1 = 33 2 = 43 3 = 49 4 = 31
Compute a 95% confidence interval for the second treatment mean.
A. (33.46 52.54)
B. (30.51 55.49)
C. (35.14 50.86)
D. (22.75 63.25) 1957 Chapter 01  An Introduction to Business Statistics 85. Consider the following calculations for a oneway analysis of variance from a completely
randomized design with 20 total observations. The response variable is sales in millions of
dollars and four treatment levels represent the four regions that the company serves.
MSE = 101.25
overall = 39 1 = 33 2 = 43 3 = 49 4 = 31
Perform a pairwise comparison between treatment mean 3 and treatment mean 4 by
computing a Tukey 90% simultaneous confidence interval.
A. (1.71 34.29)
B. (2.25 38.25)
C. (2.43 33.57)
D. (2.16 33.84) 86. Consider the following calculations for a oneway analysis of variance from a completely
randomized design with 20 total observations. The response variable is sales in millions of
dollars and four treatment levels represent the four regions that the company serves.
MSE = 101.25
overall = 39 1 = 33 2 = 43 3 = 49 4 = 31
Perform a pairwise comparison between treatment mean 1 and treatment mean 4 by
computing a Tukey 95% simultaneous confidence interval.
A. (14.425 18.225)
B. (16.225 20.225)
C. (16.9 20.9)
D. (18.25 22.25) 1958 Chapter 01  An Introduction to Business Statistics 87. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. Determine the degrees of freedom for treatments.
A. 4
B. 3
C. 6
D. 5 88. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. Calculate the degrees of freedom for blocks.
A. 4
B. 3
C. 6
D. 5 1959 Chapter 01  An Introduction to Business Statistics 89. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. Determine the degrees of freedom for error.
A. 24
B. 15
C. 20
D. 18 90. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. What is the treatment mean square?
A. 3.98
B. 5.31
C. 15.93
D. 1.06 1960 Chapter 01  An Introduction to Business Statistics 91. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. What is the block mean square?
A. 8.42
B. 6.49
C. 7.95
D. 7.02 92. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. What is the mean square error?
A. 0.99
B. 4.88
C. 3.97
D. 1.59 1961 Chapter 01  An Introduction to Business Statistics 93. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. What is the calculated F statistic for treatments?
A. 3.34
B. 5.29
C. 5.14
D. 2.64 94. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. What is the calculated F statistic for blocks?
A. 1.77
B. 5.29
C. 1.94
D. 7.06 95. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. Test H0: there is no difference between treatment effects at
A. Reject H0
B. Fail to Reject H0 1962 = .05. Chapter 01  An Introduction to Business Statistics 96. Consider the following partial analysis of variance table from a randomized block design
with 6 blocks and 4 treatments. Test H0: There is no difference between blocks at
A. Reject H0
B. Fail to Reject H0 = .05. 97. A researcher has used a oneway analysis of variance model to test whether the average
starting salaries differ among the recent graduates from nursing, engineering, business and
education disciplines. She has randomly selected four graduates from each of the four areas.
If MSE = 4, and SSTO = 120 complete the following ANOVA table and determine the value
of the F statistic. A. F = 8
B. F = 4
C. F = 6
D. F = 5 98. A researcher has used a oneway analysis of variance model to test whether the average
starting salaries differ among the recent graduates from nursing, engineering, business and
education disciplines. She has randomly selected four graduates from each of the four areas.
Determine degrees of freedom treatment, degrees of freedom error and degrees of freedom
total and state the critical value of the F statistic at α = .05
A. 4, 12, 16, 3.26
B. 3, 12, 15, 3.49
C. 3, 12, 15, 3.24
D. 4, 12, 16, 3.01 1963 Cha...
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