11. A film processing service monitors the quality of the developing process withlight-sensitive equipment. The accuracy measure is a number with a target value ofzero. Suppose that an X chart with subgroups of size five is used to monitor theprocess and the control limits are UCL = 1.5 and LCL = -1.5. Assume thatthe estimate for the process mean is zero and for the process standard deviationis 1.30.a. What is the value of a for this control chart?b. Find the UCL and LCL based on three-sigma limits.c. Suppose that the process mean shifts to 1. What is the probability that the shiftis detected on the first subgroup after the shift occurs?

Given: When the quality of developing process with light sensitive equipment is monitored by a film…

Answered: 11. A film processing service monitors…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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‏An X control chart with three - sigma control limits has UCL = 47.75 and LCL = 42.71 . Suppose the process standard deviation is o = 2.25 . What subgroup size was used for the chart ?
9.2.6 The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in table #9.2.6. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. Table #9.2.6: Traffic Count Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263
A quality assistant is currently conducting a control process in battery production by inspecting the quantity of defective products with varying inspection data for each of its subgroups as follows: Question: a. Calculate the UCL and LCL with the control limit ṗ b. Calculate the UCL and LCL with the control limit nṗ c. Calculate the UCL and LCL with the control limit ċ d. Explain the differences between each of the control limits.
Five soft drink bottling companies have agreed to implement a time management program in hopes of increasing productivity (measured in cases of soft drinks bottled per hour). The number of cases of soft drinks bottled per hour before and after the implementation of the program are listed below. Company 1 2 3 4 5 Before 500 475 525 490 530 After 510 480 525 495 533 Test, at level 0.05, whether the time management has been effective in increasing productivity. Let Tobs be the observed value of the appropriate test statistics. Group of answer choices Since Tobs = -2.82 > -4.604 we do not have enough evidence to conclude that the time management program has been effective in increasing production. Since Tobs = -2.82 < -2.132 we can conclude that the time management program has been effective in increasing production. Since Tobs = -1.64 > -2.132, we do not have enough evidence to conclude that the time management program has been effective in increasing production.…
#18 Assume that military aircraft use ejection seats designed for men weighing between 140.8 lb and 214lb. If women's weights are normally distributed with a mean of 174.6 lb and a standard deviation of 41.1lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications? - The Percentage of Women that have weights between those limits is___ % - Are Many Women excluded with those specifications?
Suppose a paint manufacturer has a daily production, x, that is normally distributed with a mean of 100,000 gallons and a standard deviation of 10,000 gallons. Management wants to create an incentive bonus for the production crew when the daily production exceeds the 90th percentile of the distribution, in hopes that the crew will, in turn, become more productive. At what level of production should management pay the incentive bonus?
In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?
A critical dimension of the service quality of a call center is the wait time of a caller to get to a sales representative. Periodically, random samples of three customer calls are measured for time. The results of the last four samples are in the following table: Sample Time (Sec) 1 495 501 498 2 512 508 504 3 505 497 501 4 496 503 492 a. Assuming that management is willing to use three-sigma control limits, and using only the historical information contained in the four samples, show that the call center access time is in statistical control.b. Suppose that the standard deviation of the process distribution is 5.77. If the specifications for the access time are 500 ± 18 sec., is the process capable? Why or why not? Assume three-sigma performance is desired.
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An article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 37.8 37.9 35.1 35.5 27.5 18.3 24.1 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using ? = 0.05.State the appropriate hypotheses. H0: ? = 29Ha: ? > 29H0: ? = 29Ha: ? < 29 H0: ? = 29Ha: ? ≠ 29H0: ? ≠ 29Ha: ? = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.Do not reject the null hypothesis. There is sufficient evidence to conclude that…
4. (a) The mean lifetime of 200 mobile phones in a sample is 1,000 hours and their standard deviationis 130 hours. µ is the mean lifetime of all the mobile phones produced. Test the hypothesis thatthe sample comes from a population whose mean is 1,200 hours at 1% significance level?
The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees is selected in Sequoyah National Forest, where it is found that = 6 meters with a standard deviation = 3 meters. A second SRS of size 40 is independently selected in Yellowstone National Forest, and it is found that = 4 meters with a standard deviation = 2 meters. Let μ1 and μ2 represent, respectively, the true mean circumferences of this particular species of tree. Assume the standard deviations of the two populations are equal. The researcher tests the following hypotheses: H0 : μ1 = μ2, Ha : μ1 ≠ μ2The numerical value of the two-sample t statistic is

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