STATS 6 Problems Assignment

Question 1:The data below represents the amount of grams of carbohydrates in a sample serving of breakfast cereal.10 18 24 30 19 22 24 20 18 25 20 22 19What is the interquartile range (midspread) for this data __________?Answer should be between one or two decimal places e.g. 10.1, 10.2 etc.Please do not include units (grams) in your answer.The following information refers to the next two questions (Q.2/Q.3):Question 2:Refer to the following table which contains the sales (in $,000) for a department store for the first ten months of the year.Month SalesJanuary 440February 480March 590April 400May 500June 550July 470August 500September 600October 520Using a three period moving average (i.e. MA(3)) as a forecasting method, what is the MAD for this forecasting model?Answer should be between two and four decimal places e.g. 1.23, 1.234, 1.2345 etc.Please do NOT include any units in your answer.QUESTION 3:Using simple exponential smoothing (with a smoothing constant of 0.2) as a forecasting method, what is the MSE for this forecast model?Answer should be between two and four decimal places e.g. 1.23, 1.234, 1.2345 etc.Please do NOT include any units in your answer.QUESTION 4:The ordered array below resulted from taking a sample of 25 batches of 500 computer chips and determining how many in each batch were defective.Defects1 2 4 4 5 5 6 7 9 10 12 12 1417 20 21 23 23 24 26 27 27 28 29 29 If a frequency distribution for the defects data is constructed, using ‘0 but less than 5’ as the first class, what would be the cumulative relative frequency of the ‘10 but less than 15’ class __________%?Answer should be a percentage value to whole numbers e.g. 12, 23, 34 etc.Please do NOT include units (%) in your answer.QUESTION 5:A manufacturer of power tools claims that the average amount of time required to assemble their top-of-the-line table saw is fifty (50) minutes with a standard deviation of forty (40) minutes (the very large standard deviation is due to a variety of factors including a large variation in skills amongst the ‘Do it yourself’ home handyman which is traditionally one of the companies customer base). Suppose a random sample of 64 purchasers of this table saw is taken.What is the probability that the sample mean will be less than 46 minutes __________?Answer should be to four decimal places which is consistent with the number of decimal places listed in your appendix tables e.g. 0.1234 etc.Please do NOT include any units in your answer.QUESTION 6:A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 metres. It is known that the standard deviation in the cutting length is 0.15 metres. A sample of 144 cut sheets yield a mean length of 12.14 metres. This sample will be used to obtain a 90% confidence interval for the mean length cut by machine.What are the two limits of the confidence interval __ and __?Answer should be to four decimal places e.g. 1.2345 and 2.3456.Please do NOT include any units in your answer.min = max =