Question

Given the following confidence interval, determine the sample mean used to construct the interval:

(2.4 , 9.8)
5.6
3.7
cannot be determined without the confidence level
6.1
7.4

Answer 1

cannot be determined

Explanation:

The sample mean used to construct the confidence interval (2.4, 9.8) cannot be determined without the confidence level. The confidence interval provides a range of possible values for the true population parameter (in this case, the population mean), based on the sample data and a chosen confidence level. The sample mean itself is not provided in the confidence interval, but rather the range within which the true population mean is likely to fall with a certain level of confidence. Therefore, without knowing the confidence level used to construct the interval, we cannot determine the sample mean.