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- a) What proportion of 20% of defective items should a supervisor in the quality system of a plastic products company accept when they ask him to evaluate a routine inspection procedure for orders of 100 identical articles, knowing that the procedure consists of taking a sample of 10 items and the one to accept the order if no more than 2 defective items are found? b) How many defective items are expected to appear in the sample?Now suppose Albert makes n = 30 rolls, and a 2 comes up 6 times out of the 30 rolls. Determine the P-value of the test:A real estate office wants to make a survey in a certain town, which has 50,000 households, to determine how far the head of household has to commute to work. A simple random sample of 1,000 households is chosen, the occupants are interviewed, and it is found that on average, the heads of the sample households commuted 8.7 miles to work; the SD of the distances was 9.0 miles. (All distances are one-way; if someone isn't working, the commute distance is defined to be 0.) Fill in the following blanks, rounding to 1 decimal place. And please input part b as lower bound to upper bound. (a) The average commute distance of all 50,000 heads of households in the town is estimated as _______ miles, and this estimate is likely to be off by _________ miles or so. (b) The 95%- confidence interval for the average commute distance of all heads of households in the town is from ________ to ___________ Fill in the blanks
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