Question

Please help thanks

Answer 1

(3) A sampling distribution is a probability distribution of a statistic obtained through a large number of samples drawn from a specific population. For example, the sampling distribution of the sample mean.

(4) Given, and $\sigma = 10.9545$ . Now, the samples look like this:

Sample	Ages	x̄
A,B,C,D	32,52,43,64	47.75
A,B,C,E	32,52,43,41	42
A,B,C,F	32,52,43,50	44.25
A,C,D,E	32,43,64,41	45
A,C,D,F	32,43,64,50	47.25
A,D,E,F	32,64,41,50	46.75
B,C,D,E	52,43,64,41	50
B,C,D,F	52,43,64,50	52.25
B,D,E,F	52,64,41,50	51.75
C,D,E,F	43,64,41,50	49.5
A,B,D,E	32,52,64,41	47.25
A,B,E,F	32,52,41,50	43.75
A,B,D,F	32,52,64,50	49.5
A,C,E,F	32,43,41,50	41.5
B,C,E,F	52,43,41,50	46.5

To find, P(43 <= $\bar{X}$ <= 51) = 11/15 = 0.7333