In a study of the 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.

(a) What is the value of the t test statistic for comparing the means?
(b) In the context of this study, state the null and alternative hypotheses.
(c) The P-value for the t test is 0.29. If α = 0.10, what is your conclusion regarding the hypotheses in (b)?

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HH SH 51 n 33 y 18.3 13.9 s 17.8 19.1