In: Statistics and Probability
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:
1.7, 1.6, 1.5, 2.0, 2.3, 1.6, 1.6, 1.8, 1.5, 1.7,
2.0, 1.4, 2.6, 1.7, 1.6
(a) Use the sample data to construct a 95% confidence interval of the mean weight and state the margin of error (E).
(b) Using a 0.01 significance level to test the claim that these bats come from the same population having a mean weight equal to 1.8 g. What is your conclusion of the claim after the test? (Need to state hypotheses, compute test statistic, critical value, P-value, and conclusion)