For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 3838 beats per​ minute, the mean of the listed pulse rates is x overbarxequals=77.077.0 beats per​ minute, and their standard deviation is sequals=22.322.3 beats per minute.   a. What is the difference between the pulse rate of 3838 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 3838 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 3838 beats per minute​ significant? a. The difference is 3939 beats per minute. ​(Type an integer or a decimal. Do not​ round.) b. The difference is   standard deviations. ​(Round to two decimal places as​ needed.)   Can someone help I'm stuck on fiquiring out part b?

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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.