Multiple Choice Answers

New college business graduates are finding it difficult to get a job. A business journal has reported that only one in five graduates is able to find a job within 6 months of their graduation. A report by University of Phoenix indicated that out of a survey of 300 recent business graduates, 75 had jobs. You are a business major at University of Phoenix and have a concern about getting a job. Based on this data, will a graduate of University of Phoenix have a better chance of getting a job in the first 6 months after graduation? Use the .05 significant level for the test.
A. No, there is not a significant difference.
B. It cannot be predicted based on this data.
C. Yes, there is a significant difference.
D. The business journal information is incorrect.
Sound engineers studied factors that might affect the output, in decibels, of a rock concert’s speaker system. The desired level of significance was a = .05. The results of their ANOVA tests are shown:
Source of VariationSSdfMSFP-value
Amplifier99.0234499.023440.005718
Position93.9869831.328993.2158070.051003
Interaction10.1536533.3845490.3474120.791505
Error155.875169.742188
Total359.039123
The interaction between the Position and Amplifier treatments was
A. very significant
B. slightly significant
C. insignificant
D. highly correlated
Analysis of variance (ANOVA) is used to
A. compare nominal data
B. compute t- test
C. compare population proportion
D. simultaneously compare several population means

Mr. Thomas owns three different restaurants in Cincinnati, Ohio. He is concerned about the profitability of the restaurants. There are monthly differences between the restaurants and he wants to determine if the differences in profit are significant. Mr. Thomas wants to do a statistical test to see if he should be concerned. The best test to address this problem would be
A. a paired t- test
B. two different t tests
C. an ANOVA test
D. a two sample test

Totto, an automobile manufacturer, has designed a radically new engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are regular, below regular, premium, and super premium. The test car made three trial runs on the test track using each of the grades and the miles per gallon were recorded. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same?
A. 1.96
B. 4.07
C. 2.33
D. 12.00

If an ANOVA test is conducted and the null hypothesis is rejected, what does this indicate?
A. Too many degrees of freedom
B. A difference between at least one pair of population means
C. No difference between the population means
D. The variances are the same

Nonparametric statistics are used when
A. you have qualitative data, with your variables being measured at the nominal or interval level
B. you have qualitative data, with your variables being measured at the ordinal or ratio level
C. you have qualitative data, with your variables being measured at the nominal or ordinal level
D. you have qualitative data, with your variables being measured at the ordinal or interval level

The nonparametric test most commonly used for testing the statistical independence between two variables is
A. the Kruskal- Wallis test
B. the Chi- Square test
C. the Mann Whitney test
D. the Sign test

What nonparametric test is used when the assumptions for the parametric ANOVA cannot be met? Its purpose is to test whether three or more populations are equal. The data must be at least ordinal scaled.
A. Students’ t
B. Kruskal- Wallis
C. Mann-Whitney
D. ANOVA

Rachael Smith is the personnel manager at Johnson and Johnston, an accounting firm. She is concerned about absenteeism, which seems to be an increasing problem, especially after days off work. She decided to sample the records to determine if absenteeism was distributed evenly throughout the 6-day work week. The null hypothesis to be tested was: Absenteeism is distributed evenly throughout the week. The sample results were:
Day of WeekNumber Absent
Monday12
Tuesday9
Wednesday11
Thursday10
Friday9
Saturday9
What is the critical value of chi-square with a significant level of = 0.05?
A. 11.070
B. 12.592
C. 13.388
D. 15.033