Question 24)
p-bar = Total number of defective/(no of samples*sample size) = 54/(9*70) = 0.085714286
Sp = sqrt((0.085714286*(1-0.085714286))/70) = 0.033459431
UCL = 0.085714286+3*0.033459431 = 0.186092579 = 0.19 (approximately)
LCL = 0.085714286+3*0.033459431 = -0.014664007 = 0 (Adjusted)
So correct answer is 0.19,0
Question 25)
Graph Data
Sample no | Number defective | Fraction defective | center line | LCL | UCL |
1 | 4 | 0.057 | 0.0857143 | 0 | 0.186093 |
2 | 5 | 0.071 | 0.0857143 | 0 | 0.186093 |
3 | 0 | 0 | 0.0857143 | 0 | 0.186093 |
4 | 7 | 0.1 | 0.0857143 | 0 | 0.186093 |
5 | 14 | 0.2 | 0.0857143 | 0 | 0.186093 |
6 | 2 | 0.029 | 0.0857143 | 0 | 0.186093 |
7 | 1 | 0.014 | 0.0857143 | 0 | 0.186093 |
8 | 7 | 0.1 | 0.0857143 | 0 | 0.186093 |
9 | 14 | 0.2 | 0.0857143 | 0 | 0.186093 |
Correct answer is The percentage defective is out of control
Question 26)
The standard deviation of the sampling distribution is 0.033459431 = 0.0335 (approximately) (Ans)
Question 27)
Correct answer is At least one sample is outside the control limits
thanks! :) Formulas for Questions 24-27 Upper control in. UCL= 1 + 20 Lower control it....
A statistical process control chart example. Samples of 25 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X denote the number of parts in the sample of 25 that require rework. A process problem is suspected if X exceeds its mean by more than three standard deviations Round your answers to four decimal places (a) If the percentage of parts that require rework remains at 1%, what is the probability...
Product filling weights are normally distributed with a mean of 365 grams and a standard deviation of 19 grams. a. Compute the chart upper control limit and lower control limit for this process if samples of size 10, 20 and 30 are used (to 2 decimals). Use Table 19.3. For samples of size 10 UCL =| LCL For a sample size of 20 UCL = LCL For a sample size of 30 UCL = LCL = b. What happens to...
Thanks so much :) Formulas and Tables for Questions 28-31 Setting Mean Chart Limits ( -chart) Upper controllimit. UCL, = + A,R Lower controllimit, LCL, = 2 - A R Setting Range Chart Limits (R-chart) Upper controllimit, UCLR=DAR Lower controllimit, LCLR=DER where - mean of the sample means, A2, D3, D4-table factors for control charts R-average range of the samples R-average range of the samples Tables Table 3. Factors for Computing Control Chart Limits (3 sigma) SAMPLE SIZE, n MEAN...
> Use the following to answer questions 20-25: A company makes plastic cups. Four samples of 15 cups were taken from an ongoing process to establish a p chart for control. The samples and the number of defectives in each are shown in the following table: Sample Number of Defectives 1 15 2 2 15 0 3 15 3 4 15 5 What is the proportion defective for Sample 1? 0 0.667 O 0.133 O 0.200 O 0.167 O 0.333...
Section Two (True/False) Regarding SPC and control charts: 3. Control limits and specification limits are both provided by the customer. cause variation SPC uses graphed statics to determine if a process has special Control limits for most control charts are set at 2 standard deviations. If a control chart signals special cause variation, the cause will also be known. One should work on reducing common cause variation while eliminating special cause variation. Critical process outputs that are measured on a...
. Samples of 20 products from a production line are selected every hour. Typically, 2% of the products require improvement. Let X denote the number of products in the sample of 25 that require improvement. A production problem is suspected if X exceeds its mean by more than 3 standard deviations. (a) If the percentage of products that require improvement remains at 2%, what is the probability that X exceeds its mean by more than 3 standard deviations? (b) If...
i dont have any more informafoon to add besides rhis pther example of tne type of problem 0405/20 1:47 Homework: Chapter S6 Homework Score: 0 of 1 pt + 2 of 7 (4 complete) Problem 6s.16 HW Score: 46.43%, 3.25 of The defect rate for your product has historically been about 1.00%. For a sample size of 400, the upper and lower 3-sigma control chart limits are: Question Help UCL = enter your response as a number between 0 and...
Use the following to answer questions 20-25: A company makes plastic cups. Four samples of 15 cups were taken from an ongoing process to establish ap chart for control The samples and the number of defectives in each are shown in the following table: Sample Number of Defectives 1 15 2 2 15 3 15 3 4 15 5 What is the proportion defective for Sample 12 O 0122 O 0.667 O 0.167 O 0223 O 0.200 Question 21 1...
Problem 6s.11ac Question Help Refer to Table $6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean Range qe (in.) (in.) 9.402 0.033 9.404 0.041 9.391 0.034 9.408 0.051 9.399 0.031...
le Edit View History Bookmarks People Window Help 34% Fri May 17 11:20 p Take a Test murwo elmi ch all Episode O https://www.mathxl.com/Student/PlayerTest.aspx?testid- 194812266¢erwin yes Not S 2019-Spring 1740W murwo elmi &5/17/19 1053 PM Sign O Quiz: Chapter 6 Quiz Time Remaining: 01:05.22 Submit Quiz atistic This Question: 1 pt 4 of 15 (1 complete) This Quiz: 15 pts possible Assume a population of 3, 4, and 11. Assume that samples of size n-2 are randomly selected with replacement...