Question

In: Statistics and Probability

A variable of a population has a mean  and a standard deviation . a. The sampling distribution...

A variable of a population has a mean  and a standard deviation .

a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation of

Mean = 100 and standard deviation = 3

Mean = 14.28 and standard deviation = 3

Mean = 14,28 and standard deviation =  0.428

Mean = 99 and standard deviation = 9

Solutions

Expert Solution

Solution,

Sample of Size = 49

Mean = 100 and standard deviation = 3

= = 100

= /

= 3/

= 0.4286

Mean = 14.28 and standard deviation = 3

= = 14.28

= /

= 3/

= 0.4286

Mean = 14.28 and standard deviation = 0.428

= = 14.28

= /

= 0.428/

= 0.0611

Mean = 99 and standard deviation = 9

= = 99

= /

= 9/

= 1.2857


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