Question

In: Statistics and Probability

The population mean and standard deviation are given below. Find the required probability and determine whether...

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n= 69​, find the probability of a sample mean being less than 23.3 if m= 23 and sigma =1.17.

The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If​ convenient, use technology to find the probability.

For a sample of n =31, find the probability of a sample mean being less than 12,750 or greater than 12753 when μ =12,750 and σ =2.3

Solutions

Expert Solution

a)

The answer is: 0.983410211686389

Using excel formula:  =NORM.DIST(23.3,23,1.17/8.30662386291807,TRUE)

We will use excel to solve the problem:

b)

The answer is 0.50

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!


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