1. (a) The data given below are the number of complains recoreded per day by a credit carddivision of the bank.Day1234578910No. of Complains 4135432113Develop an appropriate control chart and interpret whether the number of compliantsrecorded by the credit card division is in control. If not, what is your suggestion to thecredit card division of that bank.(b) A supply chain engineering group monitors shipments of materials through thecompany distribution network. Errors on either the delivered material or theaccompanying documentation are tracked on a weekly basis. Six randomly selectedshipments are examined each week and the errors per sample (per shipment) are recordedfor the seven weeks as given below.No. of defects per sample: 12, 13, 18, 17, 14, 30, 11Set up a u control chart to monitor this process. Comment the control chart?6.

Answered: Image /qna-images/answer/c960b4fa-6f34-41ec-9578-a71c8c4baaeb.jpg

Answered: 1. (a) The data given below are the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The director of marketing at Vanguard Corporation believes that sales of the company's Bright Side laundry detergent (S) are related to Vanguard's own advertising expenditures (A), as well as the combined advertising expenditures of its three biggest rival detergents (R).The marketing director collects 36 weekly observations on S, A, and R . Vanguard's marketing director is comfortable using parameter estimates that are statistically significant at the 10 percent level or better. Give the specific statistical tool that can be used to this problem.
15.A manufacturer is testing its new grain moisture measurement techniques and sampled out 4 moisture meters (Gwon1, Gwon3, Kett, heating) and observed the slope of their measured moisture contents compared to standard heating technique at 3 trials each as shown in the table. *see attached table C. Now supposed you were asked to determine which means are different from the rest, you conduct Fisher’s least significant difference test at 10% alpha level. Find critical t value from the t-distribution table, indicate input arguments used. What is the LSD? Check if means of Gwon3 (slope) is significantly different from heating.
A suburban hotel derives its revenue from its hotel and restaurant operations. Theowners are interested in the relationship between the number of rooms occupied on anightly basis and the revenue per day in the restaurant. Below is a sample of 25 days(Monday through Thursday) from last year showing the restaurant income and numberof rooms occupied.
A mutual fund is a professionally managed investmentscheme that pools money from many investorsand invests in a variety of securities. Growth fundsfocus primarily on increasing the value of investments,whereas blended funds seek a balance betweencurrent income and growth. Here is data on theexpense ratio (expenses as a % of assets, from www.morningstar.com) for samples of 20 large-cap balancedfunds and 20 large-cap growth funds (“largecap”refers to the sizes of companies in which thefunds invest; the population sizes are 825 and 762,respectively):Bl 1.03 1.23 1.10 1.64 1.301.27 1.25 0.78 1.05 0.640.94 2.86 1.05 0.75 0.090.79 1.61 1.26 0.93 0.84Gr 0.52 1.06 1.26 2.17 1.550.99 1.10 1.07 1.81 2.050.91 0.79 1.39 0.62 1.521.02 1.10 1.78 1.01 1.15 a. Calculate and compare the values of x, x , , and s forthe two types of funds.b. Construct a comparative boxplot for the two types offunds, and comment on interesting features.
Suppose that, as part of a research methods class, Bailey was asked to write a summary of a research paper on the topic of the effects of oil contamination in soil on seed germination rates. Identify the explanatory and the response variables.
A quality control manager has concerns about the occurrence of defects on acomponent assembly used in the fabrication of an aircraft wing. The manufacturing plantoperates with three shifts, and three particular types of defects are of concern. The followingtable shows the count of defects of each type across the shifts from a random sample of 300assemblies with defects from a week of production.Test whether the types of defects are independent of the shifts. Perform the test on the 5%level. What is your conclusion?
A quality control manager has concerns about the occurrence of defects on acomponent assembly used in the fabrication of an aircraft wing. The manufacturing plantoperates with three shifts, and three particular types of defects are of concern. The followingtable shows the count of defects of each type across the shifts from a random sample of 300assemblies with defects from a week of production. Test whether the types of defects are independent of the shifts. Perform the test on the 5%level. What is your conclusion?
2. Differentiate quantitative to qualitative research using the Venn diagram.
over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d)
over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d).f. which control chart would be preferred in this situation? Explain.
Red Wine and Weight LossResveratrol, a compound in grapes and red wine, has been shown to promote weight loss in rodents and now in a primate.1 Lemurs fed a resveratrol supplement for four weeks had decreased food intake, increased metabolic rate, and a reduction in seasonal body-mass gain compared to a control group. Suppose a hypothetical study is done for a different primate species, with one group given a resveratrol supplement and the other group given a placebo. We wish to see if there is evidence that resveratrol increases the mean metabolism rate for this species. (This exercise presents hypothetical data. We will see the results from the actual study later in this chapter.) (a) State the null and alternative hypotheses.Let group 1 be the species taking a resveratrol supplement and let group 2 be the species taking a placebo.
The nation of Waipo has recently created an eco- nomic development plan that includes expanded exports and imports. It has completed a series of ex- tensive studies of the world economy and Waipo’s economic capability, following Waipo’s extensive 10-year educational-enhancement program. The re- sulting model indicates that in the next year exports will be normally distributed with a mean of 100 and a variance of 900 (in billions of Waipo yuan). In addi- tion, imports are expected to be normally distributed with a mean of 105 and a variance of 625 in the same units. The correlation between exports and imports is expected to be +0.70. Define the trade balance as ex- ports minus imports. Determine the mean and variance of the trade balance (exports minus imports) if the model parameters given above are true. What is the probability that the trade balance will be positive?

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