Question

Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 109. Assume the variable x is normally distributed.

Answer 1

Explanation:

Let X be the variable representing SAT critical reading scores for which the mean is 507 and std dev is 109

X is normal

Critical score for 95% is Z critical = ±1.96

Convert Z to x score as

`z=507+1.96(109) and z = 507-1.96(109)`

Critical values of X lie in the range

(293.36,720.64)