Question

Twenty randomly selected cats mean weight is 12.5 lb with a standard deviation of 3.7 lb. At the 0.05 level of significance, test the claim that the mean weight for all such cats is greater than 13.7 lb. Show all 5 steps. Interpret your solution.

Answer 1

The null and alternate hypothesis are:
H0:
Ha:

The test statistic is given by:

Since this is a right-tailed test, so the p-value is given by:

Since p-value is greater than 0.05, so we do not have sufficient evidence to reject the null hypothesis
H0.

So, we do not reject H0 and say that i.e. we cannot support the claim that the mean weight for all such cats is greater than 13.7 lb.