Question

Section #13070 7) A random sample of 12 chickens is selected from a chicken processin amount of fat that goes with each chicken package is 5.2, 6.1, 5.1, 5.7, 5.9, 6.7,5.0, 6.5,6.2,7.0,6.4,5.3 Construct a 95% confidence interval for the average fat in each Chicken p ackage.

Answer 1

From the given sample

Mean $\bar{x}$ = 5.925

Sample standard deviation S = 0.669

95% confidence interval for $\mu$ is

$\bar{x}$ - t_$\alpha$/2 S / sqrt(n) < $\mu$ < $\bar{x}$ + t_$\alpha$/2 S / sqrt(n)

5.925 - 2.201 * 0.669 / sqrt(12) < $\mu$ < 5.925 + 2.201 * 0.669 / sqrt(12)

5.4999 < $\mu$ < 6.3501

95% CI for $\mu$ is (5.4999,6.3501)