For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 36 beats per minute, the mean of the listed pulse rates is x= 75.0 beats per minute, and their standard deviation is s= 25.8 beats per minute. a. What is the difference between the pulse rate of 36 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 36 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 36 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.)
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.
![For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 36 beats per minute, the
mean of the listed pulse rates is x = 75.0 beats per minute, and their standard deviation is s = 25.8 beats per minute.
a. What is the difference between the pulse rate of 36 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 36 beats per minutes to a z score.
d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor
significantly high, is the pulse rate of 36 beats per minute significant?
a. The difference is
beats per minute.
(Type an integer or a decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d026c81-fce1-4673-b912-2a28bd4d296d%2Fbe2488a1-be0a-4211-9be0-bc7f69566697%2Fps1gmob_processed.png&w=3840&q=75)
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