P6 . We are interested in the birth weight of the calves at the farm FattenedCalves. Denote 1 the mean birth weight at FattenCalves and 2 that of the competition. The owner of FattenCalves claimed that the average birth weight at her farm is greater than that of the competition. To test that assertion, a wholesaler drew a random sample of calves at each farm, and obtained the following information:

FattenCalves Competition

Number of calves 19 29

Mean birth weight (kg) 71 55

Standard deviation (kg) 5.6 4.3

Assume both populations to be normal, and the variances of the birth weights (FattenCalves and

Competition) to be equal. With a significance level of 1%, is the claim of the owner of

FattenCalves supported by the data?