Question

In: Operations Management

You are considering relaxing your control requirements that determine what is acceptable quality; you have been...

You are considering relaxing your control requirements that determine what is acceptable quality; you have been using a 99.0% confidence interval but want to begin using a 97.5% confidence interval.

Your team has collected the following data from 4 samples of 7 observations each. The calculated standard deviation is 13.981.

	Sample 1	Sample 2	Sample 3	Sample 4
Obs 1	392.2	415.1	413.6	399.7
Obs 2	392.3	408.1	394.9	402.3
Obs 3	405.4	428.6	410.1	400.6
Obs 4	410.3	398.2	410.8	427.6
Obs 5	423.3	403.3	423.2	385.8
Obs 6	413.9	421.1	402.7	431.0
Obs 7	426.7	433.5	385.8	405.9

What is the UCL for the mean given the new confidence interval of 97.5%? (Keep one decimal point in your answer)

Expert Solution

Following table highlights average values of each sample consisting of 4 samples.

Average value of each sample = Sum of 7 observations / 7

	Sample 1	Sample 2	Sample 3	Sample 4
Observation 1	392.2	415.1	413.6	399.7
Observation 2	392.3	408.1	394.9	402.3
Observation 3	405.4	428.6	410.1	400.6
Observation 4	410.3	398.2	410.8	427.6
Observation 5	423.3	403.3	423.2	385.8
Observation 6	413.9	421.1	402.7	431
Observation 7	426.7	433.5	385.8	405.9
Average =	409.1571	415.4143	405.8714	407.5571

Thus , Xbar = Average of averages = ( 409.1571 + 415.4143 + 405.8714 + 407.5571) /4 = 409.5

Z value for 97.5% confidence interval = NORMSINV ( 0.9875 ) = 2.2414

Given are following data :

Standard deviation = 13.981

Sample size = n = 7 ( since there are 7 observations against each sample )

UCL for the mean given the 97.55 confidence interval

= Xbar + Z x Standard deviation / Square root ( sample size )

= 409.5 + 2.2414 x 13.981 / Square root ( 7 )

= 409.5 + 2.2414 x 13.981 /2.645

= 409.5 + 11.84

= 421.34

UCL FOR MEAN = 421.3

keosha answered 1 year ago

You are considering options for a deposition process for a-Si that gives acceptable quality films and...

You are considering options for a deposition process for a-Si that gives acceptable quality films and is able to deposit 5 nm thickness in less than a minute. Compare the HW PECVD, VHF PECVD and RFCVD in terms of the required output.

What are the quality control requirements for Glucose tolerance testing and fasting blood glucose test? What...

What are the quality control requirements for Glucose tolerance testing and fasting blood glucose test? What is the level of sensitivity for both tests? What advantages and disadvantages of the tests have?

Density requirements of soils are critical to the QC/QA (quality control and quality assurance) of compacted...

Density requirements of soils are critical to the QC/QA (quality control and quality assurance) of compacted borrows in the construction of earth structures, like earth dams and highway embankments. a) How the density requirements can be established? b) Give different methods for the field density check and explain how each works.

This week you will explore Quality systems, quality control, inspection, quality tools, and quality management. Your...

This week you will explore Quality systems, quality control, inspection, quality tools, and quality management. Your assignment this week is to first choose an industry segment with which you are familiar. That business can be the one in which you are employed or are familiar with with such as: airline transportation; food services; retail outlets; pharmacies, medical or dental services; or any other business you are familiar with. Once you have decide on an industry segment (not a company), research...

You have joined a company as the quality executive. The method of quality control is based...

You have joined a company as the quality executive. The method of quality control is based on the use of total inspections at the end of the production cycle which often results in 15% rework or repairs. Outline your plan of action for improvement over the first 12 months.

Assume you have been selected to lead your team in the development of a quality management...

Assume you have been selected to lead your team in the development of a quality management plan. Identify and describe several components that a quality management plan should contain. The assignment is to answer the question provided above in essay form. This is to be in narrative form. Bullet points should not to be used. The paper should be at least 1.5 - 2 pages in length, Times New Roman 12-pt font, double-spaced, 1 inch margins and utilizing at least...

Determine if the following requirements for a wet well control system, are consistent: a) If the...

Determine if the following requirements for a wet well control system, are consistent: a) If the pump is on then the valve shall be open. b) If the valve is closed then the water level is ≤ 10 meters. c) If the water level is >10 meters then the pump is on.

what are the quality requirements of masonry work

You have been asked to audit your company security plan as it applies to acceptable employee use of the Internet and e-mail.

You have been asked to audit your company security plan as it applies to acceptable employee use of the Internet and e-mail. Write a preliminary audit plan, including scope, objectives, and audit steps.

In your new employment, you have been tasked to adopt lean practices to deliver a quality...

In your new employment, you have been tasked to adopt lean practices to deliver a quality building project. This requirement is part of your company's goals. At the same time, you are required to integrate green practices as a compliance with the country's National Building Regulations/Codes. Is there any difference between both lean and green (green building) practices? And how will you ensure a balance between both requirements?