Question

Suppose cattle in a large heard have a mean weight of 1058 lbs and a standard deviation of 90. What is teh probablity that the mean weight of a sample of steers would be 12 or more pounds less than the population mean if 51 steers are samples at random from the herd?

Answer 1

Let X denotes the weight of a randomly selected cattle in a large heard.

X ~ Normal(1058,90²)

If 51 steers are samples at random from the herd,

sample mean or

The probablity that the mean weight of a sample of steers would be 12 or more pounds less than the population mean if 51 steers are samples at random from the herd

(ans)