Question

supposed cattle in a large herd have a mean weight of 1366 pounds and have a standard deviation of 59 pounds what is the probability that the mean weight of the sample of cows would be less than 1356 pounds if 39 cows are sampled at random from the herd. round your answr to four decimal places

Answer 1

Solution :

= / n = 59 / 39 = 9.4476

P( < 1356) = P(( - ) / < (1356 - 1366) / 9.4476)   

P(z < -1.06)

= 0.1446

Probability = 0.1446