Question

In: Statistics and Probability

Joe Giancarlo in interested in reducing the driving time required for delivering pizzas. Joe believes equipping...

  1. Joe Giancarlo in interested in reducing the driving time required for delivering pizzas. Joe believes equipping his delivery crew with GPS devices will greatly reduce time to delivery, so he randomly equips 16 of his drivers with a GPS and randomly selects another 11 drivers who are not equipped with GPS.

The results were as follows:

N

Average Delivery Time

Standard Deviation

GPS

16

      9.438

      2.159

No GPS

11

    11.000

      2.490

Determine with an alpha of 0.01 whether deliveries where a GPS device is used are faster than deliveries where one is not.

  1. State your null and alternate hypotheses:
  1. Calculate your point estimate.
  1. Calculate the standard error.

  1. How many degrees of freedom?_____________
  2. Is this test single- or two-tailed?_________________
  3. Compute your test statistic
  1. What is the critical t-value for this level of significance and degrees of freedom?_____
  2. What is Joe’s decision?

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