Question

In a random sample of 34 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 55 ​months, with a standard deviation of 15 months. Construct and interpret a 95​% confidence interval for the mean length of sentencing for this crime.

Answer 1

Answer: 49.96 to 60.04

Explanation:

Since 1 − = 0.95, /2 = 0.025, and 0.025 = 1.96, the large sample 95% confidence interval

(55 − 1.96 * 15√34 ; 55 + 1.96 * 15√34 ) = (49.96 ; 60.04).