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 24 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 255.63 kg, the average weight of one week old pups was 29.92 kg and the average weight of two week old pups was 38.65 kg. The variance of the difference between the one week and two week pup weights was found to be 22.60.
Which of the following would be the reasearcher's correct null hypothesis?
H0: μ1 ≠ μ2
H0: μ1 < μ2
H0: μ1 = μ2
H0: μ1 = μ2 =
30
Which of the following is the correct alternative hypothesis?
Ha: μ1 >
μ2
Ha: μ1 ≠
μ2
Ha: μ1 =
μ2
Ha: μ1 <
μ2
Calculate the test statistic
Calculate the 90 % confidence interval for the difference in seal pup weights.
Upper Limit Lower Limit
Do we reject the null hypothesis at a significance level α = 0.1?
Yes, we reject the null hypothesis
No, we fail to reject the null hypothesis
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