a. N (4.87, 0.0129)
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 cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $ 4.87 and a standard deviation of $ 0.05. A sample of 15 Bay Area gas stations are randomly chosen. We are interested in the average cost of gasoline for the 15 service stations. The distribution to use for the average cost of gasoline for the 15 service stations is:
Select one: a. N (4.87, 0.0129)
b. N (0.3247, 0.0006)
c. N (4.87, 0.0033)
d. N (4.87, 0.0002)
e. N (0.3247, 0.0033)
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $ 4.87 and a standard deviation of $ 0.05.
therefore our random variable X~N(4.87,0.0025)
we have to find the average cost of gasoline for the 15 service stations.
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