A 1995 study shows that since records were first kept in a meteorologist's hometown, the average temperature during the month of May was μ = 68 degrees. The meteorologist then looks up the average temperatures for each of the 25 Mays since then, and finds their sample mean to be x = 73 and their standard deviation to be s = 8.55 degrees. Can the meteorologist claim that the average temperature for May is different from how it used to be? Use a 1% level of significance.
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.
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