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 nequals65​, find the probability of a sample mean being greater than 229 if muequals228 and sigmaequals3.5.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 228

standard deviation = = 3.5

n = 65

= 228

= / n = 3.5 / 65 = 0.43

P( >229 ) = 1 - P( < 229)

= 1 - P[( - ) / < (229-228) / 0.43]

= 1 - P(z < 2.33)

Using z table,    

= 1 - 0.9901

probability= 0.0099


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