The followings are the number of miles (in thousand unit) driven on a year as reported by a random sample of 12 drivers. 34.5 37 37.6 33.1 32.3 35.2 32.2 36.8 33.2 33.3 35.3 36.5 We wanted to know if this data set has a normal distribution with mean 35.0 and standard deviation 2.0. We conducted a test at the 5% level of significance and the decision of the test is a. Fail to reject b. Reject c. Fail to reject d. Accept
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.
. The followings are the number of miles (in thousand unit) driven on a year as reported by a random sample of 12 drivers.
34.5 37 37.6 33.1 32.3 35.2 32.2 36.8 33.2 33.3 35.3 36.5
We wanted to know if this data set has a
|
a. Fail to reject |
b. Reject |
c. Fail to reject |
d. Accept |
From the given information,
The number of miles driven on a year as reported by a random sample of 12 drivers is given.
Population mean = 35.
Population standard deviation = 2.
Level of significance = 0.05.
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