The undergraduate grade point average (GPA) for students accepted at a random sample of 10 medical schools in the United States was taken. The mean GPA for these accepted students was 3.75 with a standard error of 0.06. The distribution of undergraduate GPAs is Normal.

a. Decide whether each of the following statements is worded correctly for the confidence interval. Fill in the blanks for the correctly worded one(s). Explain the error for the ones that are incorrectly worded.

i. We are 95% confident that the sample mean is between ___ and ___.

ii. We are 95% confident that the population mean is between ___ and ___.

iii. There is a 95% probability that the population mean is between ___ and ___.

b. Based on your confidence interval, would you believe that the population mean GPA is 3.80? Why or why not?