Question

The data below are the weights (in lbs) of some members of FSU's Dept of Statistics. 157, 158, 175, 210, 194, 160 Use the data and your calculator to find an appropriate 96% one-sample confidence interval for the average weight of all members of FSU's Dept of Statistics. Assume that the standard deviation of the weights of ALL members of the department is 19 lbs. We are only looking for the lower bound and upper bound of the interval in this question, nothing else. O (160, 191) O (150,201) (159, 192) (151,200)

Answer 1

From the given sample

sample mean $\bar{x}$ = 175.67

96% confidence interval for $\mu$ is

$\bar{x}$ - Z$\alpha$/2 * $\sigma$ / sqrt(n) < $\mu$ < $\bar{x}$ + Z$\alpha$/2 * $\sigma$ / sqrt(n)

175.67 - 2.0537 * 19 / sqrt(6) < $\mu$ < 175.67 + 2.0537 * 19 / sqrt(6)

160 < $\mu$ < 191

96% CI is ( 160 , 191)