Reconsider the previous exercises about the average number of states all students at the author’s school have visited. Using the data from the author’s sample, a 99% confidence interval for the average number of states all students at the author’s school have visited is found to be (6.78, 12.18). For each of the following statements, say whether VALID or INVALID.
a. We are 99% confident that the average number of states visited by the 50 students the author surveyed is between 6.78 and 12.18.
b. Based on the 99% confidence interval, there is evidence that the number of states all students at the author’s school have visited is different from 16.
c. Based on the 99% confidence interval, there is evidence that the number of states all students at the author’s school have visited is 16.
d. We are 99% confident that the average number of states visited by all students at the author’s school is between 6.78 and 12.18.
e. About 99% of the students at the author’s school have visited between 6.78 and 12.18 states.
f. If we want to be less than 99% confident, we should take a smaller sample of students.