Question

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 27 one week old grey seal pups on the west side of the island and 20 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 28.748 and the average weight of one week old pups on the east side of the island is 31.995. They found that the sample standard deviations were 12.993 and 13.836 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.

Standard error is not -0.24

Test Statistic is not -0.24

Answer 1

soste : east side Given West site n.:22 X = 28.748 st - 12.9.93 20 no= X2 31. 995 13.836 Assume the population variances are equal standard error = (, -1) s? + (121) sa htn2-2 ( Hote) n2 = (27-0) (12.993)2 + (20-) (13-836) 27 +20 – 2 27 20 3.94 Test statistic is ta Fi-72 (n-1) s ²+ (ha) 5² hitn2-2 Chha nz - 28.748 - 31.995 3.94 t = 0.824 CS Scanned with CamScanner