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arsen [322]
3 years ago
11

Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points betwee

n z = − 1.6 z=-1.6 and z = 1.6 z=1.6 standard deviations of the mean (or within 1.6 standard deviations of the mean). What percent of the data points will fall in that range?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer:

89.04% of the data points will fall in the given range of z = − 1.6 and z = 1.6      

Step-by-step explanation:

We are given a normally distributed data.

We have to find the percentage of data that lies within the range  z = − 1.6 and z= 1.6

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(-1.6 \leq z \leq 1.6)\\= P(z \leq 1.6) - P(z \leq -1.6)\\\text{Calculating the value from standard normal table}\\= 0.9452 - 0.0548 = 0.8904= 89.04\%

89.04% of the data points will fall in the given range of z = − 1.6 and z= 1.6

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