Que1 A random sample size n 49 is selected from population

Que1. A random sample size n = 49 is selected from population with mean = 53 and standard deviation of =21

Que a) what will be the approximate shape of the sampling distribution of xbrar.

Que b) what will be the mean and standard deviation of the sampling distribution of xbar.

Solution

Que1. A random sample size n = 49 is selected from population with mean = 53 and standard deviation of =21

Que a) what will be the approximate shape of the sampling distribution of xbrar.

Sample size is 49 which is > 30.

Approximate shape of the sampling distribution of xbrar is normal.

Que b) what will be the mean and standard deviation of the sampling distribution of xbar.

mean = 53

and standard deviation = sd/sqrt(n)

= 21/sqrt(49)

=21/7

= 3