Question: A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well

A machine that cuts corks for wine bottles operates in such a way that the of the diameter of the corks produced is well approximated by a normal with mean 3 centimeters and standard deviation 0.1 centimeters. The specifications call for corks with diameters between 2.9 and 3.1 centimeters. A cork not meeting the specifications is considered defective. (A cork that is too small leaks and causes the wine to deteriorate; a cork that is too large doesn’t fit in the bottle.) What proportion of corks produced by this machine is defective?

Step by Step Solution

★★★★★

3.36 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let the diameter of the cork produc... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

536-S-D-R-V (571).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A machine producing vitamin E capsules operates in such a way that the distribution of x = actual amount of vitamin E in a capsule can be modeled by a normal curve with a mean of = mg and standard...

The Medassist Pharmaceutical Company uses a machine to pour cold medicine into bottles in such a way that the standard deviation of the weights is 0.15 oz. A new machine was tested on 71 bottles, and...

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation .1 cm....

=+7.26 A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 3 cm and...

7.78 A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 3 cm and...

A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 3 cm and standard...

7.78 A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter for the corks produced is well approximated by a normal distribution with mean 3 cm and...

The height of a randomly selected five-year-old child is a normal distribution with a mean of 100 cm and a standard deviation of 6 cm. a. What percent of the heights is below 87 cm? b. What percent...

plss help me i have difficulties in answering all of these can you answer it all plss 1. In an industrial process, the diameter of a ball bearing is an important measurement. The buyer sets...

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

Chloroline Inc. has 2 million shares outstanding and no debt. Earnings before interest and tax (EBIT) are projected to be $15 million under normal conditions, $5 million for a downturn in the...

Kowalski Corporations management took the following actions, which went into effect on January 2, 2011. Each action involved an application of present value. a. Entered into a purchase agreement that...

14.24 A scientist collects experimental data on the radius of a propellant grain, y, as a function of powder temperature, extrusion rate, and die temperature. Results of the three-factor experiment...

Ramtreat Metal Technology provided for a double your money back remedy in its contracts for the sale of its metal drilling assemblies. A buyer filed suit seeking consequential damages and cost of...

Refer to Data Set 1 in Appendix B and use the red blood cell counts (million cells/L) for females. Begin with a lower class limit of 3.60 and use a class width of 0.40. Using a very loose...

Refer to Data Set 15 in Appendix B and use the times of the arrival delays. Begin with a lower class limit of 60 min and use a class width of 30 min. Based on the result; does it appear that most of...

Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff. Begin with a lower class limit of 10 min and use a class width of 5 min. Based on the result, does it appear...

Perrin Company designs industrial prototypes for outside companies. Budgeted overhead for the year was $390,000, and budgeted direct labor hours were 26,000. The average wage rate for direct labor is...

12-24 Budgeted costs, kaizen improvements. Trendy T-Shirt Factory manufactures plain white and solid-colored T-shirts. Inputs include the following: Additionally, the colored T-shirts require 3...

Hart Labs, Inc. provides mad cow disease testing for both state and federal governmental agricultural agencies. Because the company's customers are governmental agencies, prices are strictly...