Question

In a study of nutritional requirements of cattle, researchers measured the weight gains of cows during...

In a study of nutritional requirements of cattle, researchers measured the weight gains of cows during a 78-day period. For two breeds of cows, Hereford (HH) and Brown Swiss/Hereford (SH), the results are summarized in the following table.

HH SH
sample size 29 33
Sample mean 18.3 13.9
Sample Variance 17.8 19.1

Did the Hereford (HH) cows gain more weight than the Brown Swiss/Hereford (SH)? Assume that the variances of the two populations of cows are equal. Set  at 0.10

-What is the test statistic used and calculate?

-What is the critical value of the test statistic?

-What is the p-value?

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