Scores on a standardized reading test for fourth-grade students form a normal distribution with = 71 and = 24. What is the probability of obtaining a sample mean greater than M = 63 for each of the following:

Standard Normal Distribution

Mean =0.0

Standard Deviation =1.0

-3

-2

-1

0

1

2

3

z

.5000

.5000

0.0000

A sample of n = 9 students

P(M > 63) =

Standard Normal Distribution

Mean =0.0

Standard Deviation =1.0

-3

-2

-1

0

1

2

3

z

.5000

.5000

0.0000

A sample of n = 36 students

P(M > 63) =

Standard Normal Distribution

Mean =0.0

Standard Deviation =1.0

-3

-2

-1

0

1

z

.5000

.5000

0.0000

A sample of n = 64 students

P(M > 63) =