Activity #6:(10 points) Car Rentals:The following data represent the daily rental for a compact automobile charted by two car rental companies, Thrifty and Hertz, in ten locations.Test whether Thrifty is less expensive than Hertz at the 0.01 significance level.NOTE:Assume that the differences have been shown to be from a normal population and have no outliers.

City Chicago L.A. Houston Orlando Boston Seattle Pittsburgh Phoenix New Orleans Minneapolis

Thrifty 21.81 29.89 17.9 27.98 24.61 21.96 20.90 37.75 33.81 33.49

Hertz 18.99 37.99 19.99 35.99 25.6 22.99 19.99 36.99 26.99 30.99

Perform a hypothesis test and calculate a confidence interval including each of the following steps:

STEP 1:Type of Test and Requirements (2 points):

State the type of test that is appropriate for the problem and why.

Explain how each of the Requirements are met for this problem.

STEP 2:Hypotheses (2 points):

State the question you are investigating

Write the Null and Alternative hypothesis in symbols (use correct symbols - these are in the equation editor in Word) and in words.

STEP 3:Mechanics (2 points):Use the Calculator or other technology

Include in your answer the type of test and values you entered

Include your results (test statistic, p-value)

STEP 4:Conclusion (2 points):State your conclusion

Include reject or fail to reject the null hypothesis

Write your conclusion in terms of the problem context (and the p-value).

STEP 5:Confidence Interval (2 points):

Find the appropriate confidence interval that matches the test and significance level for each problem.One-tailed test confidence level is 1-2(significance level) and two-tailed test confidence level is 1 - significance level.

Explain how the results of the confidence interval support your hypothesis test conclusion in STEP 4.(Does the interval contain the null hypothesis?)

NOTE:In Chapters 10 and 11, we have performed hypothesis tests of the following type:

One Proportion Test

Two Proportion Test

One Mean Test

Two Independent Means Test

Matched Pairs (or Dependent Means) Test