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.
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.
Assume we have taken an SRS of 49 UCLA students and calculated a 95% confidence interval...
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