Suppose that a random sample of 42 bottles of a particular brand of wine is selected and the alcohol content of each bottle is determined. Let denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (10.8,12.4).

Which of the following is true when using the same data set. (Select all that apply.)

a) The true mean is between 10.810.8 and 12.412.4 90% of the time.

b) A 90% confidence interval will end up being narrower.

c) A 90% confidence interval for will be an interval that contains the interval (10.8,12.4).

d) A 90% confidence interval for will be an interval that is contained in (10.8,12.4).