A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year. After randomly sampling 156 college students, the research organization determined the following 99% confidence interval: (6.8 hours/night, 7.3 hours/night). A: In the context of the problem, which of the following interpretations is correct, if any?
a- The average number of hours of sleep per night among all the college students will be between 6.8 and 7.3 hours on 99% of nights
b- If many random samples of 156 college students were taken, 99 out of 100 of them would produce a confidence interval that captures the true mean number of hours of sleep per night among all college students.
c- 99% of all college students will get between 6.8 and 7.3 hours of sleep per night each night
d- there's a 99% chance that the average number of hours of sleep per night among college students in the sample will be between 6.8 and 7.3.
e- We're 99% sure that a college student will get between 6.8 and 7.3 hours of sleep per night.
f- none of the above is a correct interpretations
B: What is the value of the sample mean? (two decimal places)