Question

(a) What are the mean and variance of an average weight gain estimated from a sample of 20 heifers?

a) 188 lbs, 110 squares
b) 188 lbs, 2200 squares
c) 188 lbs, 154 squares
d) 188 lbs, 440 squares

(b) What are the mean and variance for the sample of 30 heifers?
a) 188 lbs, 73.33 squares
b) 188 lbs, 110 squares
c) 188 lbs, 3300 squares
d) 188 lbs, 73.33 squares

Answer 1

The mean weight gain for a sample of 20 heifers is 188 lbs with a variance of 110 squares. The mean weight gain for a sample of 30 heifers is also 188 lbs with a variance of 73.33 squares.

Step-by-step explanation:

In statistics, the mean is the average of a set of numbers, while the variance measures how spread out these numbers are around the mean. To find the mean and variance of an average weight gain estimated from a sample of 20 heifers, we need to use the formula for the sample mean and sample variance. For a sample of 20 heifers, the mean weight gain is 188 lbs and the variance is 110 squares (option a).

Similarly, for a sample of 30 heifers, the mean weight gain is still 188 lbs (as it is not affected by the sample size) and the variance is 73.33 squares (option a).