Areal estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. stephon is an independent real estate agent and wants to check the times for his client. he took a random sample of 15 commute times and found an average of 26 minutes. he did hypothesis testing using a significance level of 5%. which conclusion could he make?

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

at this z-score = 0.0005 which is less than 5%

the answer is C. the z- statistic is 3.32, so the null hypothesis should be rejected.