A random sample of 1000 customers at a fast food restaurant had their service time recorded.Based on this sample,a 95% confidence interval for the average service time,in minutes,at the restaurant is computed to be [4.1,7.5].How would you interpret this interval?
A)95% of all customers have a service time between 4.1 minutes and 7.5 minutes.
B)We are 95% confident that the population mean service time is between 4.1 minutes and 7.5 minutes.
C)We are 95% confident that the sample mean service time is between 4.1 minutes and 7.5 minutes.
D)950 of the 1000 customers in the sample will have a service time is between 4.1 minutes and 7.5 minutes.
E)If we select one new customer at random,the probability their service time will be between 4.1 minutes and 7.5 minutes is 0.95.

Question

Quizplus · Accepted Answer

A 95% confidence interval means we are 95% confident that the true population mean service time falls within the interval [4.1, 7.5]. It does not provide information about individual customers or the proportion of customers within the interval.

A Random Sample of 1000 Customers at a Fast Food