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Unformatted text preview: ss of fit is _________ a onetailed test with the rejection region in
the right tail.
A. Always
B. Sometimes
C. Never 24. The chisquare goodness of fit test can be used when:
A. We conduct a binomial experiment.
B. We conduct a multinomial experiment.
C. We perform a hypothesis test to determine if a population has a normal distribution.
D. We perform a hypothesis test to determine if two population variances significantly differ
from each other. 11039 Chapter 01  An Introduction to Business Statistics 25. The χ2 statistic is used to test whether the assumption of normality is reasonable for a
given population distribution. The sample consists of 5000 observations and is divided into 6
categories (intervals). The degrees of freedom for the chisquare statistic are:
A. 4999
B. 6
C. 5
D. 4
E. 3 26. The chisquare goodness of fit test will be valid if each of the expected cell frequencies is
______________.
A. Greater than 0
B. Less than 5
C. Between 0 and 5
D. At least 1
E. At least 5 27. When we carry out a chisquare goodness of fit test for a normal distribution, the null
hypothesis states that the population:
A. Does not have a normal distribution
B. Has a normal distribution
C. Has a chisquare distribution
D. Does not have a chisquare distribution
E. Has k3 degrees of freedom 28. When we carry out a chisquare test of independence, the null hypothesis states that the
two relevant classifications:
A. Are mutually exclusive
B. Form a contingency table with r rows and c columns
C. Have (r1) (c1) degrees of freedom
D. Are statistically dependent
E. Are normally distributed 11040 Chapter 01  An Introduction to Business Statistics 29. Which if any of the following statements about the chisquare test of independence is
false?
A. If ri is row total for row i and cj is the column total for column j, then the estimated
expected cell frequency corresponding to row i and column j equals (ri) (cj)/n.
B. The test is valid if all of the estimated cell frequencies are at least five.
C. The chisquare statistic is based on (r1) (c1) degrees of freedom where r and c denote,
respectively the number of rows and columns n the contingency table.
D. The alternative hypothesis states that the two classifications are statistically independent.
E. All of the above statements are true about the chisquare test of independence. 30. When we carry out a chisquare test of independence, as the difference between the
respective observed and expected frequencies decrease, the probability of concluding that the
row variable is independent of the column variable:
A. Decreases
B. Increases
C. May decrease or increase depending on the number of rows and columns
D. Will be unaffected 31. A manufacturing company produces part 2205 for the aerospace industry. This particular
part can be manufactured using 3 different production processes. The management wants to
know if the quality of the units of part 2205 is the same for all three processes. The production
supervisor obtained the following data: The Process 1 had 29 defective units in 240 items;
Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective
units in 150 items. At a significance level of .05, we performed a chisquare test to determine
whether the quality of the items produced appear to be the same for all three processes. What
is the null hypothesis?
A. H0: The number of defectives produced is independent of the production process used.
B. H0: The row and column variables are associated with each other.
C. H0: The proportion of defective units produced by the three production processes is the
same.
D. Both A and C are correct or at least acceptable way of stating the null hypothesis.
E. A, B and C are all acceptable ways of stating the null hypothesis. 11041 Chapter 01  An Introduction to Business Statistics 32. A manufacturing company produces part 2205 for the aerospace industry. This particular
part can be manufactured using 3 different production processes. The management wants to
know if the quality of the units of part 2205 is the same for all three processes. The production
supervisor obtained the following data: Process 1 had 29 defective units in 240 items; Process
2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in
150 items. At a significance level of .05 we performed chisquare test of independence to
determine if the quality of the items produced appears to be independent of the production
process. What are the degrees of freedom for the chisquare statistic?
A. 2
B. 3
C. 520
D. 569
E. 570 33. A manufacturing company produces part 2205 for the aerospace industry. This particular
part can be manufactured using 3 different production processes. The management wants to
know if the quality of the units of part 2205 is the same for all three processes. The production
supervisor obtained the following data: Process 1 had 29 defective units in 240 items; Process
2 produced 12 defective units in 180 items and...
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 Winter '14

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