Question

The national average SAT score (for verbal and math) is

1028

. Suppose that nothing is known about the shape of the distribution and that the standard deviation is

100

. Round the final answer to at least four decimal places and intermediate

z

-value calculations to two decimal places.

1.If a random sample of

205

scores was selected, find the probability that the sample mean is greater than

1044

. Assume that the sample is taken from a large population and the correction factor can be ignored.

Answer 1

National average SAT score (for verbal and math) is = 1028

Standard deviation is = 100

Random Sample Size = n = 205

We know from Central Limit Theorem,

     We get this phi vaalue from z table.

Now, we have to find,

                        

The probability that the sample mean is greater than 1044 is 0.0110       (Answer)

z table :