A sample of n = 25 diners at a local restaurant had a mean lunch bill of $16 with a standard deviation of o = $4. We obtain a 95% confidence interval as (14.43, 17.57). Which of the following correctly interprets this interval? • a. 95% of all lunches will cost between $14.43 and $17.57. • b. 95% of the time, the average price for a lunch will be between $14.43 and $17.57. • c.None of the answer options is correct.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A sample of n = 25 diners at a local restaurant had a mean lunch bill of $16 with a standard deviation of o = $4. We obtain a 95% confidence interval as (14.43, 17.57). Which of the following correctly interprets this interval? • a. 95% of all lunches will cost between $14.43 and $17.57. • b. 95% of the time, the average price for a lunch will be between $14.43 and $17.57. • c.None of the answer options is correct.
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