You may need to use the appropriate technology to answer this question. In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 drivers were given the exam before and after taking the course. The results are shown below. Assume the population of differences is normally distributed. Driver Score Before the Course Score After the Course 1 84 87 2 90 88 3 94 91 4 78 77 5 86 93 6 80 83 Let d = Score After − Score Before. (a) Compute the test statistic. (Round your answer to three decimal places.)   (b) Using ? = 0.05 and the p-value approach, test to see if taking the course actually increased scores on the driving exam. Calculate the p-value. (Round your answer to four decimal places.) p-value =  What is your conclusion? We do not reject H0. There is no significant difference.We do not reject H0. There is a significant difference.    We reject H0. There is no significant difference.We reject H0. There is a significant difference.

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Author:Amos Gilat
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You may need to use the appropriate technology to answer this question.
In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 drivers were given the exam before and after taking the course. The results are shown below. Assume the population of differences is normally distributed.
Driver Score Before
the Course
Score After
the Course
1 84 87
2 90 88
3 94 91
4 78 77
5 86 93
6 80 83
Let d = Score After − Score Before.
(a)
Compute the test statistic. (Round your answer to three decimal places.)
 
(b)
Using ? = 0.05 and the p-value approach, test to see if taking the course actually increased scores on the driving exam.
Calculate the p-value. (Round your answer to four decimal places.)
p-value = 
What is your conclusion?
We do not reject H0. There is no significant difference.We do not reject H0. There is a significant difference.    We reject H0. There is no significant difference.We reject H0. There is a significant difference.
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