After reading the example above where one can see how probability values can be used in managerial decision-making to establish a product guarantee, post a comment where you think probability could be used to help solve other management-type questions/p
ezgftsRead the attached document to see how probability values are used by managers to make business decisions. The entire problem is worked out from start to finish and should help you in your computations in the unit.
Unit 4
Practical Exercise
The following example illustrates how probability values using areas under the standard normal distribution can be used to help make business decisions.
Example:
Let’s suppose that the Goodyear Tire Company has just developed a tire to be sold. Since the tire is new and Goodyear wants to introduce it into the consumer market, company executives believe that a mileage guarantee offered with the tire will be an important factor in buying the product. Goodyear managers want probability information about the number of miles the tire will last.
From actual test data, Goodyear engineers estimate the mean () tire mileage to be:
μ = 36,500 miles
σ = 5,000 miles
A. What is the probability that tire mileage will exceed 40,000 miles?
Step1. At x = 40,000 .70
Step 2. The area to the left of .70 (listed in Table V on page A-11 in the appendix in your text) is equal to .7580
Step 3. Subtract .7580 from 1.0 (the total area under the curve is equal to 1.0)
1.0 - .7580 = .2420
or
24.20% of the tires will exceed 40,000 in mileage
B. Let’s now assume that Goodyear is considering a guarantee that will provide a discount on replacement tires if the original tires do not exceed the mileage in the guarantee. What should the guaranteed mileage be if Goodyear wants no more than 10% of the tires to be eligible for a discount?
The information we have available right now to help in this decision is that we have a population mean of 36,500 with a standard deviation of 5,000. Goodyear management wants no more than 10% of the tires to be eligible for a discount guarantee. If we draw a normal distribution curve, 10% of the tires will fall in the lower left tail of the curve. Thus, we are looking for the z-score value, such that the area to the left of this z-score under the standard normal distribution curve is 10%, or 0.1000. Since the value 0.1000 does not appear exactly in Table V, we use the closest value that is in the table, which is 0.1003. It appears at the intersection of row -1.2 and column .08, which corresponds to the z-score of -1.28.
To find the mileage of an unknown value of x that corresponds to a z = -1.28 we solve algebraically:
Follow each step:
Method 1 or Method 2
| |
1. | 1. |
2. | 2. |
3. 30,100 = 36,500 – 1.28 (5,000) | 3. x = 30,100 |
Either method to solve for x works. Use the method you’re most comfortable with.
A guarantee of 30,000 will meet the requirement that 10% of the tires will be eligible for the guarantee.
From this example, we can see how probability can help the decision maker in reaching a good decision.
- 7 years ago
- 10
- Explain the role of reason within theology as it seeks to deepen its understanding of the mysteries of faith.
- criminal justice discussion
- Discussion Questions
- The Net Exports Effect
- E20-11B (Pension Expense, Journal Entries, Statement Presentation) Western Zoo Corporation sponsors a defined-benefit pension plan for its employees. The following data relate to the operation of the plan for the year 2014 in which no benefits were paid.
- Carefully define a standard normal distribution
- Professional Organizations (This is a discussion post just a few sentence or more
- ACC 542 Week 5 Individual Assignment Audit Proposal
- melissa_morgan only
- "For Chartered Accountant" and in that attach the presentation
Answer question example you need is attached
After reading the example above where one can see how probability values can be used in managerial decision-making to establish a product guarantee, post a comment where you think probability could …
2 years agoSTATISTICS......Post a comment where you think probability could be used to help solve other management-type questions/problems
Example is attached. Question is below.
After reading the example above where one can see how probability values can be used in managerial decision-making to establish a product …
5 years agoAfter reading the example above where one can see how probability values can be used in managerial decision-making to establish a product guarantee, post a comment where you think probability could be used to help solve other management-type questions/pro
NOT RATEDUnit 4
Practical Exercise
The following example illustrates how probability values using areas under the standard normal distribution can be used to help make business decisions.
…
7 years ago