In: Statistics and Probability
A hypothesis test with a 5% level of significance is designed to test the claim that the mean weight of a new breed of chickens is greater than 6.00 pounds. A sample of 81 chickens is obtained and their mean weight is 6.20 pounds with a sample standard deviation of 0.50 pounds. No information is available concerning the standard deviation of the whole population of the new breed. What is the critical value (from Table A-3) and the test statistic (to nearest 0.001) for this hypothesis test?