In: Statistics and Probability
1. Researchers have long suspected that texting has a detrimental effect on driving behavior. To avoid unnecessary high risk of driving on the roads, driving behavior is measured via driving simulator and the number of mistakes is recorded while texting and not texting as the person is driving the simulator. Mistakes such as failing to stay within the lane, driving at least 10 miles below or above the speed limit, and failing to use the turn signal are automatically recorded. To avoid individual differences in driving behavior, participants are tested twice: once under the “texting while driving” condition and once under the “driving without texting” condition. There are nine participants in the study. Their driving mistakes are reported in the table below.
Question: Do the data support the claim that texting has a detrimental (negative) effect on driving behavior, using an α = 0.05?
For this question, you must follow the steps of hypothesis testing and complete all your calculations by hand. Remember to show your calculations and provide your conclusions in sentence format.
Once you finish this part of the assignment, you can scan or take a photo of your work and paste the scan/photo in your Word document.
Table 1.
Number of mistakes by study participants while using the driving simulator
Participant |
Texting |
Not texting |
A |
35 |
21 |
B |
48 |
30 |
C |
25 |
10 |
D |
33 |
10 |
E |
30 |
11 |
F |
46 |
22 |
G |
37 |
16 |
H |
33 |
10 |
I |
37 |
23 |