Question: The world’s smallest mammal is the bumblebee bat, also known as the Kitti’s hog-nosed bat. Such bats are roughly the size of a large bumblebee. Listed below are weights (in grams) from a sample of these bats:

a) Test the claim that these bats come from the same population having mean weight of 1.8g.

b) Assuming that the weights of all such bats have a standard deviation of 0.30g, construct a 95% confidence interval estimate of their mean weight.

c) Use the confidence interval you obtained in b) to determine whether this sample of bats is from the same population with a known mean of 1.8g.