Suppose \( (26,34) \) is a \( 95 \% \) confidence interval estimate for a population mean \( \mu \).
a) The point estimate \( \bar{x}= \) \( \square \)
b) The margin of error \( = \) \( \square \)
c) Which of the following are true statements?
I. There is a 0.95 probability that \( \mu \) is between 26 and 34 .
II. There's a \( 95 \% \) chance that any particular value in the population will fall between 26 and 34 .
III. \( 95 \% \) of confidence intervals constructed in this population will have a lower limit of 26 and an upper limit of 34 .
IV. If \( 95 \% \) confidence intervals are calculated from all possible samples of the given size, \( \mu \) is expected to be in \( 95 \% \) of these intervals.
IV only
I and IV
I and II
III only
I and III
II and III