Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 60.75 lb.; Average range R = 1.64 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCL-) = 61.437 lb. (round your response to three decimal places). Lower Control Limit (LCL;) = Ib. (round your response to three decimal places).
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- Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with mean 100 and standard deviation 10. Then freeze these random numbers. a. Calculate the mean and standard deviation of these random numbers. Are they approximately what you would expect? b. What fraction of these random numbers are within k standard deviations of the mean? Answer for k = 1; for k = 2; for k = 3. Are the answers close to what they should be (about 68% for k = 1, about 95% for k = 2, and over 99% for k = 3)? c. Create a histogram of the random numbers using about 10 bins of your choice. Does this histogram have approximately the shape you would expect?Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…Find the maximum and minimum values of f(x) = x3 − 6x2 + 8 on the horizontal span of 0 to 10.
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- Students in two different classes used two different textbooks to learn the same subject matter. We wish to estimate with 90% confidence how much better students in Class B performed. A B 90 89 75 80 95 89 85 94 86 91 86 82 93 90 92 92 In order to construct a 90% confidence interval here, we should use: TInterval 2-SampTInt 1-PropZInt 2-PropZInt 2-SampZInt ZIntervalAlcohol Dragster On board most alcohol dragsters is a computer that compiles datainto a number of different categories during each race. The table below shows someof the actual data from a past race.Time inseconds The front wheels, at each end of the front axle, are 22.07 inches in diameter. Derive aformula that will convert rpm’s from a 22.07-inch wheel into miles per hour. Test yourformula on all six rows of the table. Explain any discrepancies between the table valuesand the values obtained from your formula.RJ produces chocolate balls. There are five samples, and each sample contains 4 packs of chocolate balls that were randomly selected and weighed. The following is the sample data: Weight (lb) Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Pack 1 0.94 1 1.05 0.98 0.93 Pack 2 1.15 0.93 1.13 0.93 0.8 Pack 3 0.88 1 1.07 0.9 1.12 Pack 4 0.96 1.06 0.97 0.89 1.01 Suppose the standard deviation is unknown, and the X-bar chart is based on 3-sigma limits. Based on the sample data, what is LCL? a 0.920 b 0.887 c 0.816 d 0.844
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