Question
1)) An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its
1)) An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.
Yes | No | Total | |
Male | 66(76.17) | 66(55.83) | 132 |
Female | 125(114.83) | 74(84.17) | 199 |
Total | 191 | 140 | 331 |
The correct value of the test statistic is
Chi-square = 5.340 | ||
Chi-square = 8.429 | ||
Chi-square = 0.839 | ||
Chi-square = 45.556 |
2)) Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family.
Personal Time (Hours) | |
Women | Men |
25 21 | 22 |
22 27 | 21 |
19 29 | 24 |
25 26 | 27 |
24 30 | 19 |
25 27 | 23 |
24 26 | 17 |
23 23 |
Based on the data, the correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is
a | 0.30 to 5.48 hours | |
b | -0.50 to 3.21 hours | |
c | -4.67 to -0.62 hours | |
d | 1.27 to 6.89 hours |
3)) Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family.
Personal Time (Hours) | |
Women | Men |
25 21 | 22 |
22 27 | 21 |
19 29 | 24 |
25 26 | 27 |
24 30 | 19 |
25 27 | 23 |
24 26 | 17 |
23 23 |
At Alpha = 0.05,
a | we reject the alternative hypothesis. | |
b | we fail to reject the null hypothesis. | |
c | we can conclude that women take a smaller average number of hours of personal time per year compared to men. | |
d | we reject the null hypothesis. There is strong evidence that women take a higher average number of hours of personal time per year compared to men. |
4)) n determining the best companies to work for, a number of variables are considered, including size, average annual pay, and employee turnover rate. Moreover, employee surveys are conducted to assess aspects of the organization's culture, such as trust and openness to change. In an attempt to determine what affects turnover rate, a sample of 33 companies was randomly selected, and data were collected on the average annual bonus and turnover rate (%) for 2008. In addition, a questionnaire was administered to the employees of each company to arrive at a trust index (measured on a scale of 0-100). Below are the multiple regression results.
Predictor | Coef | SE Coef | T | P | R-square |
Constant | 12.1005 | 0.7826 | 15.46 | 0.000 | 79.6% |
Trust Index | -0.07149 | 0.01966 | -3.64 | 0.001 | |
Average Bonus | -0.0007216 | 0.0001481 | -4,87 | 0.000 |
The correct null hypotheses for testing the regression coefficient of Trust Index (TI) is
a | TI 0 | |
b | TI > 0 | |
c | TI = 0 | |
d | TI < 0 |
5)) A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported a sample mean of 16.6 hours and a standard deviation of 2.22 hours. Suppose 40 professional employees are randomly selected. This sample yields a mean of 15.2 hours and a standard deviation of 1.8 hours. The 95% confidence interval is
a | 12.45 to 17.85 hours. | |
b | 14.62 to 15.78 hours. | |
c | 13.88 to 14.29 hours. | |
d | 10.65 to 20.22 hours. |
6)) A walk-in medical clinic believes that arrivals are equally distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days.
FREQUENCY | |
MONDAY | 25 |
TUESDAY | 22 |
WEDNESDAY | 19 |
THURSDAY | 18 |
FRIDAY | 16 |
100 |
How many degrees of freedom are appropriate to test that arrivals are equally distributed?
a | 4 | |
b | 100 | |
c | 5 | |
d | 6 |
7)) In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and employee turnover rate. Moreover, employee surveys are conducted to assess aspects of the organization's culture, such as trust and openness to change. In an attempt to determine what affects turnover rate, a sample of 33 companies was randomly selected, and data were collected on the average annual bonus and turnover rate (%) for 2008. In addition, a questionnaire was administered to the employees of each company to arrive at a trust index (measured on a scale of 0-100). Below are the multiple regression results.
Predictor | Coef | SE Coef | T | P | R-square |
Constant | 12.1005 | 0.7826 | 15.46 | 0.000 | 79.6% |
Trust Index | -0.07149 | 0.01966 | -3.64 | 0.001 | |
Average Bonus | -0.0007216 | 0.0001481 | -4,87 | 0.000 |
Based on the estimated multiple regression model, a company having a trust index score of 70 and an average annual bonus of $6500 has a predicted turnover rate of
a | 3.5% | |
b | 4.2% | |
c | 1.9% | |
d | 2.4% |
8)) An army depot that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. Assuming that we define our differences as Time without standard work procedure - Time with standard work procedure, and the p-value associated with the test statistic is less than 0.0001. At alpha = 0.05,
I. we reject the null hypothesis
II. we fail to reject the null hypothesis
III. we can conclude that having standard work procedures in place reduces troubleshooting time for this component
a | I only | |
b | II only | |
c | III only | |
d | I and III |
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