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. Score Before the Course Score After the Course Driver 1 2 3 4 5 6 84 91 94 76 86 79 87 88 91 77 93 83 Let d - Score After-Score Before. (a) Compute the test statistic. (Round your answer to three decimal places.) (b) Using a -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? O We do not reject Ho. There is no significant difference. O We do not reject Ho. There is a significant difference. O We reject Ho. There is no significant difference. O We reject Ho. There is a significant difference.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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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
1
2
3
4
5
6
Score Before
the Course
84
91
94
76
86
79
Score After
the Course
87
88
91
77
93
83
Let d = Score After Score Before.
(a) Compute the test statistic. (Round your answer to three decimal places.)
(b) Using a = 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?
O We do not reject H. There is no significant difference.
O We do not reject Ho. There is a significant difference.
O We reject Ho. There is no significant difference.
O We reject Ho. There is a significant difference.
Transcribed Image Text: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 1 2 3 4 5 6 Score Before the Course 84 91 94 76 86 79 Score After the Course 87 88 91 77 93 83 Let d = Score After Score Before. (a) Compute the test statistic. (Round your answer to three decimal places.) (b) Using a = 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? O We do not reject H. There is no significant difference. O We do not reject Ho. There is a significant difference. O We reject Ho. There is no significant difference. O We reject Ho. There is a significant difference.
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