In: Statistics and Probability
Joe Giancarlo in interested in reducing the driving time
required for delivering pizzas. Joe believes equipping...
- 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.
- State your null and alternate hypotheses:
- Calculate your point estimate.
- Calculate the standard error.
- How many degrees of freedom?_____________
- Is this test single- or two-tailed?_________________
- Compute your test statistic
- What is the critical t-value for this level of significance and
degrees of freedom?_____
- What is Joe’s decision?