Question

Assume we have taken an SRS of 49 UCLA students and calculated a 95% confidence interval for the mean age to be 23 < µ< 27 years.  

Determine which of the following interpretations are True. Then answer parts i and ii in the space below.

A.  A 95% confidence interval for the mean age of students at UCLA is 23 to 27. This means that 95% of all students are in this interval.
B. A 95% confidence interval for the mean age of students at UCLA is 23 to 27. This means we believe the true mean age for all students in in this interval.
C. A 95% confidence interval for the mean age of students at UCLA is 23 to 27, so the sample mean was 25.
D. A 95% confidence interval for the mean age of students at UCLA is 23 to 27. This means there is a 95% chance that the true mean is in the interval.
E. A 95% confidence interval for the mean age of students at UCLA is 23 to 27, so 95% of all possible sample means are between 23 and 27.

i. Statements ____ and ____ are true.

ii. NOW, choose ONE false statement and explain why it is false. Be sure to indicate the statement you are explaining.

Answer 1

i. Statements B. and C. are true.

ii. NOW, choose ONE false statement and explain why it is false. Be sure to indicate the statement you are explaining.

E.

A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population and not the sample means.