Question

[5 total pt(s)] Grey seals are capital breeders and stay with their pups until they are weaned. A group of researchers on Sable Island are interested in seeing whether there is a significant difference in the weight of one week old grey seal pups versus two week old pups. They measured the weight of 20 one week old pups, then weighed those same pups again one week later. The researchers found the average weight of adult female grey seals was 245.06 kg, the average weight of one week old pups was 31.81 kg and the average weight of two week old pups was 36.19 kg. The variance of the difference between the one week and two week pup weights was found to be 14.23.

H₀: μ₁ = μ₂
H_a: μ₁ ≠ μ₂
test statistic= 5.1926  

Calculate the 90 % confidence interval for the difference in seal pup weights.

Upper Limi=

Lower Limit =

Do we reject the null hypothesis at a significance level α = 0.1?

a)Yes, we reject the null hypothesis
b) No, we fail to reject the null hypothesis

Answer 1

confidence interval does not contain hypothesize mean so we reject null hypothesis

a)

yes reject the null hypothesis