Answer:
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487
Step-by-step explanation:
Given that :
Test statistic, t = 1.064
P-value = 0.0487
Hypothesis : To test if grazing cows eat more grass than grazing horses
The null hypothesis will be :
H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).
Alternative hypothesis ; H1 : μ1 > μ2
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487