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 89 88 3 94 91 4 76 77 5 87 93 6 79 83 Let d = Score After − Score Before. (a) Compute the test statistic. (Round your answer to three decimal point.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 89 88
3 94 91
4 76 77
5 87 93
6 79 83
Let d = Score After − Score Before.
(a)
Compute the test statistic. (Round your answer to three decimal point.
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