Question

A machine is supposed to produce widgets with a diameter of 20mm or more. The standard...

A machine is supposed to produce widgets with a diameter of 20mm or more. The standard deviation of the population of widgets is known to be 5mm based on machine specifications. Quality Control takes a random sample of 25 widgets from the day's production and tests them.

Unknown to the company, the machine is not functioning correctly and produces widgets with an actual average diameter of 18mm. Assuming an alpha value of .05 is used, what is the probability of a Type II error? That is, how likely is it that the company will assume that the machine is still producing widgets with an average diameter of 20mm or more?

Use three decimal places in your calculations.  

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

So the answer is: there is a 36.1% chance that the company assumes that the machine is still producing widgets with an average diameter of 20mm or more.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine...
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality...
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine...
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality...
When working properly a machine that used to make chips for calculation does not produce more...
When working properly a machine that used to make chips for calculation does not produce more than 4% defective chips,wheanever the machine produces more than 4% defective chips ,it's needs a adjustment. To check if machine is working properly the quality control department at the company often takes samples of chips and inspect them to determine if they are good or defective. One such random sample of 200 chips taken recently from the productive line contained 12defective chips.use 2.5%significance level...
steel factory produces iron rods that are supposed to be 36 inches long. The machine that...
steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control department...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...
Organizing Organizing is an important task of managers. Once the organization’s goals and plans are in...
Organizing Organizing is an important task of managers. Once the organization’s goals and plans are in place, the organizing function sets in motion the process of seeing that those goals and plans are pursued. When managers organize, they’re defining what work needs to get done and creating a structure that enables work activities to be completed efficiently and effectively by organizational members hired to do that work. As Starbucks continues its global expansion and pursues innovative strategic initiatives, managers must...
The Business Case for Agility “The battle is not always to the strongest, nor the race...
The Business Case for Agility “The battle is not always to the strongest, nor the race to the swiftest, but that’s the way to bet ’em!”  —C. Morgan Cofer In This Chapter This chapter discusses the business case for Agility, presenting six benefits for teams and the enterprise. It also describes a financial model that shows why incremental development works. Takeaways Agility is not just about the team. There are product-management, project-management, and technical issues beyond the team’s control. Lean-Agile provides...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT