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The Carbondale Hospital is considering the purchase of a new ambulance. The deci

ID: 387571 • Letter: T

Question

The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows:

  

Year

1

2

3

4

5

Mileage

3,000

4,000

3,400

3,850

3,700

a) Using a 2-year moving average, the forecast for year 6 =3775

miles (round your response to the nearest whole number).

b) If a 2-year moving average is used to make the forecast, the MAD based on this =____miles (round your response to one decimal place). (Hint: You will have only 3 years of matcheddata.)

Year

1

2

3

4

5

Mileage

3,000

4,000

3,400

3,850

3,700

Explanation / Answer

a) F(6) = (3850+3700)/2

= 3775

b) F(3) = (3000+4000)/2

= 3500

F(4) = (4000+3400)/2

= 3700

F(5) = (3400+3850)/2

= 3625

MAD = Sum of absolute Deviation/Number of Observations

MAD = |(100 + 150 + 75)|/3

= 325/3

= 108.34