USE THIS INFORMATION FOR PROBLEMS 1,2,3,and 4BELOW.

Suppose that a large population of test scores is NORMALLY DISTRIBUTED with mean=400,and a

STANDARD DEVIATION=72.

1.Choose a SRS of size 36and AVERAGE these 36scores.If done how MANY TIMES,

the MEAN of these sample meanswill be close to what number?

2.Choose a SRS of size 36and average these 36scores.If done how MANY TIMES,

the STANDARD DEVIATION of these sample meanswill be close to what number?

3.If instead you choose a SRS of test scores of size 64from this population,then what is the

SAMPLING DISTRIBUTION of their MEAN (i.e.AVERAGE x bar)?

4.HOW LARGE A SAMPLE i.e.SRS must you take in order to REDUCE THE STANDARD DEVIATION

of the sample mean x barto 5?