Question

A 95% confidence interval for the length in seconds of a rock song is found to be (112,230). determine the estimate for this aforementioned confidence interval (round your anaswer one decimal place if necessary).

Answer 1

The estimated average length of a rock song, based on a 95% confidence interval of (112, 230) seconds, is calculated to be 171 seconds.

Step-by-step explanation:

To determine the estimate for the 95% confidence interval for the length of a rock song in seconds, given as (112, 230), we calculate the point estimate which is the middle value of the interval. This is done by adding the lower and upper limits of the confidence interval and then dividing by two:

Estimate = (Lower Limit + Upper Limit) / 2

Estimate = (112 + 230) / 2

Estimate = 342 / 2

Estimate = 171 seconds

Therefore, the estimated average length of a rock song is 171 seconds based on the given 95% confidence interval.