The Worlds smallest mammal is the bumblebee bat. The mean weight of 15 randomly selected bumblee bats is 1.659 grams, with a standard deviation of 0.264 grams. Dr. Clifford Jones claims that the mean weight of bumblebee bats is 1.8 grams. We are interested in whether it's less than he claims. Using the t-distribution technique.

Assuming that Dr. Clifford is correct, estimate the probability of a sample of 15 bumblebee bats producing an average as low as the one from out sample, (one sided p-value).

the degrees of freedom are df=

The test-statistic t= (positive version of t, three places after decimal)=

The p-value is between______(smaller) and ________(larger, exact answers).