22. the sampling distribution of refers to: (a) the distribution of the various sample sizes which might be used in a given study (b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence (c) the distribution of the values of the items in the population (d) the distribution of the values of the items actually selected in a given sample (e) none of the above

Option b

Step-by-step explanation:

As per central limit theorem, we know that if we draw a number of samples randomly from the population the sample mean for all the mean of samples will follow a normal distribution provided large samples are drawn.

The distribution which the sample mean follows is called the sampling distribution.

The distribution of various sample sizes will not follow any distribution. Hence I option wrong.  

Distribution of values in the population are parameters and they do not follow any distribution.  Option d , the values of the items selected will not follow any distribution

Only correct option is

(b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: