In: Statistics and Probability
A group of researchers on Sable Island are wondering whether the grey seals pups on the west side of the island grow at different rates than those on the east side of the island. To test this they measured the weight of 22 one week old grey seal pups on the west side of the island and 24 one week old grey pups on the east side of the island. They found that the average weight of one week old pups on the west of the island is 33.377 and the average weight of one week old pups on the east side of the island is 34.642. They found that the sample standard deviations were 13.241 and 13.965 for the west and east sides respectively. The researchers assume that the population variance of weight for one week old pups is the same on both the east and west sides of the island.
What are the degrees of freedom of the test statistic?
Calculate the standard error of the test statistic
Calculate the test statistic
Do we reject the null hypothesis at significance level α = 0.1?
Yes, we reject the null hypothesis
No, we fail to reject the null hypothesis