Solve the problem.

12) The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage can we expect for a pregnancy that will last at least 300 days?

A) 1.99 %

B) 48.34 %

C) 98.34 %$

D) 1.79 %

E) 1.66 %

Given the following box plot:

PERT Test Score Information

Choose the best answer.

Suppose you collect a sample that has a mean of 37 with a 99% confidence interval of [32,42], and you are interested in the hypothesis test below at the α=0.05 level.

a) You should ask for more information because the sample size and standard deviation are needed for a hypothesis test of this kind.

b) You should fail to reject the null hypothesis because the p-value is greater than 0.05.

c) You should ask for more information because the confidence interval does not match the αα level.

d) You should reject the null hypothesis because the p-value is less than 0.05.