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... What are the steps to do it on statcrunch?

Answer 1

Answer:

Given,

Null hypothesis Ho : u = 13.7

Alternative hypothesis Ha : u > 13.7

Consider,

test statistic z = (x - u)/(s/sqrt(n))

substitute values

= (12.5 - 13.7)/(3.7/sqrt(20))

t = -1.45

Here it is right tailed,

So P(t > - 1.45) = 0.918317 [since from t table]

= 0.9183

Here we observe that, p value > 0.05, so we don't have sufficient evidence to reject the null hypothesis Ho.