Question: Q5: The snout vent length of newly born snakes is thought to be a reasonable measure of their development. In an experiment the snout vent length of newly born snakes bred in the wild and in captivity were compared. The following data gives the snout vent length (in cm) of 10 newly born snakes bred in captivity.

12, 16, 10, 12, 14, 16, 10, 12, 14, 13

Calculate the sample mean and the sample standard deviation for this data.

Find a 95% confidence interval for the mean length of the snout vent in newly born snakes. You may assume that the snout vent length is approximately normally distributed.

A second sample of snout vent lengths was taken, this time from 20 newly born snakes bred in the wild. The sample mean was found to be 12.2cm and the sample standard deviation was found to be 2.3cm. Carry out a hypothesis test at the 1% level to determine whether there is significant evidence that there is a difference between the mean snout vent length in newly born snakes bred in captivity compared with those bred in the wild.