A sample of n=16 observations is drawn from a normal population with µ=1,000 and σ = 200.  Find the following.P(> 1,050)P(< 960)P(> 1,100)Please do not solve using Microsoft Excel because my professor does not teach using excel and I would like to see the steps involved in solving the equation

Question
Asked Oct 24, 2019
  1. A sample of n=16 observations is drawn from a normal population with µ=1,000 and σ = 200.  Find the following.
  1. P(> 1,050)
  2. P(< 960)
  3. P(> 1,100)

Please do not solve using Microsoft Excel because my professor does not teach using excel and I would like to see the steps involved in solving the equation

check_circleExpert Solution
Step 1

From the given data

The populations mean  

The standard deviation  

The sample size   

= 1000
=200
n =16
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= 1000 =200 n =16

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Step 2

Here to find the value of  is as following manner

Here 

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Step 3

Then plugging th...

X -
1050 1000
P(X1050) P
50
= P(Z>1)
-1-P(Z <1)
1-0.3413
=0.6587
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X - 1050 1000 P(X1050) P 50 = P(Z>1) -1-P(Z <1) 1-0.3413 =0.6587

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