In: Statistics and Probability
A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately
1 |
2 |
mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.
Male Driver |
Female Driver |
1.3 | -0.3 |
1.3 | 0.6 |
0.9 | 1.1 |
2.1 | 0.7 |
0.7 | 1.1 |
1.3 | 1.2 |
3 | 0.1 |
1.3 | 0.9 |
0.6 | 0.5 |
2.1 | 0.5 |
(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.)
t | = | |
df | = | |
P | = |
(b) Do these data provide convincing support for the claim that, on
average, male teenage drivers exceed the speed limit by more than
do female teenage drivers?
YesNo