Solve this question again using different set of values.

Let x be a continuous random variable that has a normal distribution with = 65 and = 12. Assuming n 0.05N, where n = sample size and N = population size, find the probability that the sample mean, x, for a random sample of 20 taken from this population will be between 59.42 and 67.44.

Use Table IV in Appendix C to compute the probabilities.

Round your answer to four decimal places.