(i) Determine the upper and lower control limits for an X-Bar chart and R-chart with a sample size of four. (ii) After the control chart was established a sample of four observations had the following times in seconds: 193, 259, 197, and 149. Is corrective action needed?
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- Bad simulations Explain why each of the followingsimulations fails to model the real situation properly:a) Use a random integer from 0 through 9 to representthe number of heads when 9 coins are tossed. b) A basketball player takes a foul shot. Look at a ran-dom digit, using an odd digit to represent a good shot and an even digit to represent a miss.c) Use random numbers from 1 through 13 to represent thedenominations of the cards in a five-card poker hand.An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.The process of packing 3 16-ounce bottles of Hershey chocolate syrup in super-sized packages like those sold at Sam’s and Costco is an example of:
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- 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…4. Which of the following axioms can be regarded as the axioms of the Simple Multi-attribute Rating Technique?A. Decidability. B. Transitivity. C. Summation. D. Finite upper and lower bounds for valueMr. Ferdinand is a well known entrepreneur who sells fresh organic beef to persons in the localcommunity. Customers love the quality of meet that Mr. Ferdinand sells so they tend torecommend his product to other persons. Recently, Mr. Ferdinand has been running out of beefto sell to his customers. One customer suggests to him that he must use past sales records toforecast demand for his beef so that he can meet his customers demand. 1. Using a numerical example, demonstrate to Mr. Ferdinand how he can use a three-week and a four-week weighted moving average to forecast demand for his beef.