Suppose your manager indicates that for a normally distributed data set you are analyzing, your comp

mairie0708zl

mairie0708zl

Answered question

2022-01-31

Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z=0.6z=0.6 and z=0.6z=0.6 standard deviations of the mean (or within 0.6 standard deviations of the mean). What percent of the data points will fall in that range?
Answer: percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places)

Answer & Explanation

bemolizisqt

bemolizisqt

Beginner2022-02-01Added 16 answers

Given information-
We have given that the data set analyzing is normally distributed.
The company wants data points between z=0.6 and z=0.6 standard deviations of the mean.
We have to find the percent of the data points that will fall in that range.
P(0.6<z<0.6)is
P(0.6<z<0.6)=P(z<0.6)P(z<0.6)
P(0.6<z<0.6)=0.72570.2742
(From excel using formula =NORM.S.DIST(0.6,TRUE))
(From excel using formula =NORM.S.DIST(-0.6,TRUE))
P(0.6<z<0.6)=0.4515=45.15%
P(0.6<z<0.6)=45.15%
Hence, 45.15% of the data points will fall in that range between z=0.6 and z=0.6 standard deviations of the mean.

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