Question

1. A herd of 1,500 steer gains an average of 5.00 pounds of weight every month. The standard deviation for the population weigh gain is 7.1 pounds. Assume that the herd has a normal distribution of weight and of weight gain. A cattle herder decides to increase the herd’s weight by feeding them a special high‐protein grain for a month. The herder predicts that his herd has gained more weight because of this food. He then selects 30 steers, weighs them individually, and records the gains. From this sample of steers, the mean weight gain is 7.5lbs.

1. State the null and alternative hypotheses.

2. Calculate the z-statistic using the z-test formula.

Answer 1