An hey Farmers wanted to determine if increasing the amount of time the lights were on in his henhouse will increase egg production.

An hey Farmers wanted to determine if increasing the amount of time the lights were on in his henhouse will increase egg production. For a sample of Pete chickens he determined a production before and after increasing the amount of time and lights were on. The sample mean or before was 5.125 and the sample mean after is 6.75. The sample standard deviation of the difference is 3.962. At the 5% significance level, has there been an increase in production? what is alternative hypothesis and p-value