An egg farmer wanted to determine if increasing the time the lights were on in his hen

house would increase egg production. For a sample of eight chickens he determined their

production before and after increasing the amount of time the lights were on. The data are

reported below. At the .01 significance level, has there been an increase in production? (6

marks)

Note: the standard deviation of differences, Sd is 3.96

Hen 1 2 3 4 5 6 7 8

Before 10 8 5 2 3 7 3 3

After 7 5 6 8 8 8 10 2