Ten samples of 15 parts each were taken from an ongoing process to establish a p...

Ten samples of 15 parts each 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	n	Number of defects in Sample	Sample	n	Number of defects in Sample
1	15	3	6	15	2
2	15	1	7	15	0
3	15	0	8	15	4
4	15	2	9	15	1
5	15	0	10	15	0

Develop a p-chart for 99.7 percent confidence (3 standard deviations).
Based on the plotted data points, what comments can you make?

Expert Solution

orchestra answered 2 years ago

Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart...

Ten samples of 15 parts each 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 n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 0 2 15 2 3 15 0 4 15 3 5 15 1 6 15 3 7 15 1 8 15 0 9 15 0 10 15 0 Determine the p−p− , Sp, UCL and LCL...

Problem 10-23 Ten samples of 15 parts each were taken from an ongoing process to establish...

Problem 10-23 Ten samples of 15 parts each 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 n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 2 2 15 1 3 15 1 4 15 1 5 15 3 6 15 1 7 15 0 8 15 2 9 15 1 10 15 0 a. Determine the p−p−, Sp, UCL...

Twelve samples, each containing five parts, were taken from a process that produces steel rods. The...

Twelve samples, each containing five parts, were taken from a process that produces steel rods. 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 (in.) Range (in.) 1 10.002 0.011 2 10.002 0.014 3 9.991 0.007 4 10.006 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.005 0.013 9 9.995 0.004 10 10.001 0.011 11 10.001 0.014 12 10.006...

Twelve samples, each containing five parts, were taken from a process that produces steel rods at...

Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanuel 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 (IN.) RANGE (IN.) 1 10.02 0.011 2 10.02 0.014 3 9.991 0.007 4 10.006 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.005 0.013 9 9.995 0.004 10 10.001 0.011 11...

Samples of 36 parts are taken from a manufacturing process that produces machine parts with a...

Samples of 36 parts are taken from a manufacturing process that produces machine parts with a mean diameter of 12.40 cm and a standard deviation of 0.06 cm. If the diameters are normally distributed, what proportion of sample means will have diameters between 12.39 and 12.41 cm?

- Ten samples were taken from the normally distributed population with a variance of 64. Test...

- Ten samples were taken from the normally distributed population with a variance of 64. Test whether the data are sufficient evidence to conclude that the population mean is greater than 45 at a 10 per cent significance level, as follows (58, 62, 45, 50, 59, 65, 39, 40, 41, 52). 1. Set a hypothesis 2. Ask for rejection region. 3. Obtain the Test Statistics 4. Find a p-value.

Five samples of size 4 were taken from a process. A range chart was developed that...

Five samples of size 4 were taken from a process. A range chart was developed that had LCLr = 0 and UCLr = 2.50. Similarly, an average chart was developed with the average range from the five samples, with LCLx = 15.0 and UCLX = 24.0. The ranges for each of the five samples were 1.75, 2.42, 2.75, 2.04, and 2.80, respectively. The values of the sample average for each sample were 19.5, 22.3, 17.4, 20.1, and 18.9, respectively. What...

A production process for the JMF Semicon is monitored. Ten (10) samples of n = 15...

A production process for the JMF Semicon is monitored. Ten (10) samples of n = 15 observations have been collected with the following results: Sample Mean Range 1 251 29 2 258 45 3 233 36 4 275 25 5 234 35 6 289 20 7 256 3 8 265 19 9 246 14 10 323 46 a. Develop the appropriate control chart and complete the means and the range charts. b. Is the process under control? Explain.

1. Five samples of table legs produced in an automated cutting process were taken each hour...

1. Five samples of table legs produced in an automated cutting process were taken each hour for 20 hours. The length of a table leg in centimeters was measured, and yielded averages and ranges show in the below table. Assume the sample size (n) is 5. Sample Avg Length () Range (R) 1 95.72 1.0 2 95.24 0.9 3 95.18 0.8 4 95.44 0.4 5 95.46 0.5 6 95.32 1.1 7 95.40 0.9 8 95.44 0.3 9 95.08 0.2 10...

Five samples of size 4 were taken from a process. Summary statistics are shown below: Sample...

Five samples of size 4 were taken from a process. Summary statistics are shown below: Sample Range Mean 1 1.75 10.5 2 2.42 22.3 3 2.75 17.4 4 2.04 20.1 5 2.80 18.9 What is the lower control limit for a range chart?

Question