Interpret the confidence interval specified Question 28 and

Interpret the confidence interval specified. Question 28 and 29 are based on the following scenario.

Commute times are sometimes a factor in choosing a city, home, or job. Suppose that a researcher wants to estimate the average commute time for people employed in Orlando. She takes a random sample of 200 people employed in Orlando and finds that the mean commute time for the sample is 25.4 munutes and the standard deviation is 5.7 minutes. Based on this the 95% confidence interval is 24.6 to 26.2 minutes.

Suppose that a coworker makes the statement that the mean commute time in Orlando is more than 25 minutes. Based on the information in the problem we can conclude that

a.

statement is correct because the upper end of the interval is higher than 20 minutes.

b.

statement is incorrect since the confidence interval is based on a sample and not all the people employed in Orlando.

c.statement is correct because the lower end of the interval is higher than 20 minutes.

d. statement is correct since the mean given in the problem is 25.4 minutes.

Solution

We are 95% sure that the interval [24.6 to 26.2] contains the true population mean

[ANSWER]

c.statement is correct because the lower end of the interval is higher than 20 minutes.