A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are shipped in lots of 1,000. The acceptance sampling procedure uses 20 randomly selected crystals. a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2 (to 4 decimals). p = 0.02 p = 0.06 P = 0.09 p = 0.11 p = 0.16 с 0 1 2 1 b. If po is 0.02 and p₁ = 0.09, what are the producer's and consumer's risks for each sampling plan in part (a) (to 4 decimals)? At po = 0.02 Producer's Risk At P₁ = 0.09 с O 1 2 .67 .94 .99 .33 .06 .73 Consumer's Risk .46 .73
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- A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. Thecrystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomlyselected crystals.a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2.A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. Thecrystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomlyselected crystals.a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2.b. If p0 is .01 and p1 = .08, what are the producer’s and consumer’s risks for each sampling plan in part (a)?The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?
- An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)A manufacturer produces lots of a canned food product. Let p denote the proportion ofthe lots that do not meet the product quality specifications. An n = 25, c = 0 acceptancesampling plan will be used.a. Compute points on the operating characteristic curve when p = .01, .03, .10, and .20.Each of 150 newly manufactured items is examined and the number of scratches per item isrecorded (the items are supposed to be free ofscratches), yielding the following data:Number ofscratches per item0 1 2 3 4567Observedfrequency18 37 42 30 13 7 2 1Let X ¼ the number of scratches on a randomlychosen item, and assume that X has a Poissondistribution with parameter
- The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934At any age, about 20% of American adults participate in physical conditioning activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40 years of age, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05
- The following data show the number of class sessions missed during a semester of SOC221 and the final grade for a sample of 8 students selected at random. Number of Sessions Missed Final Grade (x) (y) 0 96 2 88 12 68 6 91 8…Use the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 2 decimal places x x Fuel Economy of Selected Vehicles (n = 73, k = 4) Obs Vehicle CityMPG Length Width Weight ManTran 1 Acura TL 20 109.3 74.0 3968 0 2 Audi A5 22 108.3 73.0 3583 1 3 BMW 4 Series 428i 22 182.6 71.9 3470 0 4 BMW X1 sDrive28i 23 176.5 70.8 3527 0 5 Buice LaCrosse 18 196.9 73.1 3990 0 6 Buick Enclave 17 201.9 79.0 4724 0 7 Buick Regal 21 190.2 73.1 3692 0 8 Cadillac ATS 22 182.8 71.1 3315 0 9 Cadillac CTS 20 195.5 72.2 3616 0 10 Cadillac Escalade 14 202.5 79.0 5527 0 11 Chevrolet Camaro 1SS 16 190.6 75.5 3719 1 12 Chevrolet Cruze LS 26 181.0 70.7 3097 0 13 Chevrolet Impala LTZ 19 201.3 73.0 3800 0 14 Chevrolet Malibu 2LT 25 191.5 73.0 3532 0 15 Chevrolet Spark LS 31 144.7 61.0 2269 1 16 Chevrolet Suburban LTZ 15 224.0 80.5 5674 0 17 Chrysler 200 Touring LX 20 191.7 72.5…A sample of n= 64 scores has a mean of M= 68. Assuming that the population mean is u=60, find the z-score for this sample: If it was obtained from a population with o= 16 Z=