Question

Fifty-five drivers took a mean of 510 mins (8½ hours) to drive from Tallahassee to Miami. Is this any indication that the mean time that all drivers might take would be greater than 500 mins (8 hours 20 mins)? Use these sample data to test the claim at significance level 0.05. Write out the full procedure that we went over in class. You’ll need to know that the standard deviation was 45 mins.

Answer 1

Here claim is that mean is greater than 500

So hypothesis is vs

As population standard deviation is known we will use z distribution to find test statistics

So P value is

As P value is less than alpha, we reject the null hypothesis

Hence we have sufficient evidence to support the claim that mean is greater than 500