For each of the following situations, choose the appropriate test. Brad wants to determine whether people who exercise regularly consume more calories per day than people who do not exercise regularly. He does not know the population standard deviations. Hannah wants to determine whether the proportion of dog owners who have at least one additional pet is less than 35%. Lucas wants to determine whether there are any differences in the mean salaries of marketing analysts in Cleveland, Columbus, and Cincinnati. Owen wants to determine whether grades on an English paper increase with the amount of time spent proofreading.
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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