A statistician wishing to test a hypothesis that students score at least 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 78% and the standard deviation in the population is known to be =15% .
The ‑value for the hypothesis 0:=75 vs. :>75 is:

0.814.

The answer cannot be determined with the information provided.

0.371.

0.186.