Question
1-- A recent study of two brands of golf balls was undertaken to determine whether there is a difference in the mean distance that the
1-- A recent study of two brands of golf balls was undertaken to determine whether there is a difference in the mean distance that the two golf ball brands will fly off the tee. To conduct the test, a robot which swings the club at the same speed and with the same swing pattern each time was used. The following data reflect sample data for a random sample of balls of each brand. We assume that the variances of the two groups are the same.
Brand A:234236230227234233228229230238
Brand B:240236241236239243230239243240
Which test would be most appropriate for testing this hypothesis?
a | the pooled t-test | |
b | the two sample t-test | |
c | the paired t-test | |
d | the two proportion z-test |
2-- A recent study of two brands of golf balls was undertaken to determine whether there is a difference in the mean distance that the two golf ball brands will fly off the tee. To conduct the test, a robot which swings the club at the same speed and with the same swing pattern each time was used. The following data reflect sample data for a random sample of balls of each brand. We assume that the variances of the two groups are the same.
Brand A:234236230227234233228229230238
Brand B:240236241236239243230239243240
At Alpha = 0.05,
a | we reject the null hypothesis and can conclude that there is a significant difference in the mean distance that the two golf ball brands will fly off the tee. | |
b | we reject the null alternative hypothesis. | |
c | we fail to reject the null hypothesis and can conclude that there is no significant difference in the mean distance that the two golf ball brands will fly off the tee. | |
d | we fail to reject the null hypothesis. |
3-- The cost of a university education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. A random sample of 20 students was selected and the following values were observed:
26 | 15 | 10 | 40 |
10 | 20 | 30 | 36 |
40 | 0 | 5 | 10 |
20 | 32 | 16 | 12 |
40 | 36 | 10 | 0 |
At Alpha = 0.05
a | we fail to reject the null hypothesis, and there is no evidence to suggest that students work more than 20 hours per week. | |
b | we reject the null hypothesis. | |
c | we support the alternative hypothesis; there is strong evidence to suggest that students work more than 20 hours per week. | |
d | we know students work more than 20 hours per week, on average. |
4--Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.
Drink | Lemon | Kiwi | Punch | Grape |
Purchase Frequency | 159 | 198 | 174 | 149 |
The degrees of freedom associated with the chi-square test statistic are
a | 1 | |
b | 2 | |
c | 3 | |
d | 4 |
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. At Alpha = 0.05,
a | we reject the alternative hypothesis | |
b | we fail to reject the null hypothesis | |
c | the firm should institute an incentive program because there is evidence indicating that professional employees volunteer less than 15 hours per month on average. | |
d | we reject the null hypothesis, and the firm shouldn't institute an incentive program because there is strong evidence indicating that professional employees volunteer more than 15 hours per month, on average |
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