An egg farmer wanted to determine if increasing the amount of 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 sample mean for 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? Find the p-value for this hypothesis test.