Scores turned In by an amateur golfer at a golf course during 2017 and 2018 are as follows. 2017 Season 75 79 80 78 76 74 76 78 2018 Season 71 76 78 86 81 72 72 80 (a) Use the mean and standard deviation to evaluate the golfer's performance over the two-year period. Compute the mean and standard deviation for the 2017 season. (Round the standard deviation to two decimal places. mean 77 sample standard deviation 1.94 Compute the mean and standard deviation for the 2018 season. (Round the standard deviation to two decimal places.) mean 77 sample standard deviation 4.92
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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