3. Using MIL-STD, determine the single sampling plans for the following information: Inspection Tightened Number Inspection Level AQL Lot Size 1.5% 1,400 2 Normal 6.5% 115 160,000 27 3 II Reduced 0.40% 4 II Normal 2.5% NOTE: Sampling plan should contain Inspection Type - whether normal etc. AQL N= lot size, n= sample size, c= acceptance number r= rejection number
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A: SOLUTION: P = 5% = 0.05 N = 500 n = 120 c= 3
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- Which of the following would be an advantage of using variables sampling ratherthan probability-proportional-to-size (PPS) sampling?(1) An estimate of the standard deviation of the population’s recorded amount isnot required.(2) The auditor rarely needs the assistance of a computer program to design anefficient sample.(3) The inclusion of zero and negative balances usually does not require specialdesign considerations.(4) Any amount that is individually significant is automatically identified andselected.Which of the following best illustrates the concept of sampling risk?(1) The documents related to the chosen sample may not be available to the auditorfor inspection.(2) An auditor may fail to recognize errors in the documents from the sample.(3) A randomly chosen sample may not be representative of the population as a wholefor the characteristic of interest.(4) An auditor may select audit procedures that are not appropriate to achieve thespecific objective.Each of these columns of data represent a different soda bottling line, with the values representing the amount of soda per bottle in ounces. The business question being asked for each of the three comparisons is "do the two bottling lines bottle the same volume of soda on average, bearing in mind that the sample difference that you may observe could just be coincidence." What is the null hypotheses? Alternative hypothesis P value Alpha=0.05 Is it significant ? t-Test: Two-Sample Assuming Unequal Variances C7 C8 Mean 20.01679499870 20.59290905613 Variance 0.01032479977 0.01011215081 Observations 50.00000000000 50.00000000000 Hypothesized Mean Difference 0.00000000000 df 98.00000000000 t Stat 28.49610006164 P(T<=t) one-tail 0.00000000000 t Critical one-tail 1.66055121707 P(T<=t) two-tail 0.00000000000 t Critical two-tail 1.98446745451
- What is the meaning of x ~ N (50, 20)? 1. Sampling distribution of x is distributed with a mean of 20 and a standard deviation of 50 2. x-bar is normally distributed with a mean of 20 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 20 4. Sampling distribution of x is distributed with a mean of 50 and a standard deviation of 20Small Mean Problem. Grandfather clocks have a particular market in auctions. You are given a random sample of 25 purchases of grandfather clocks at auctions in Pennsylvania. The sample statistics are: Mean = $1,343.04 Std Dev = $414.04 C.V. = 30.83 N = 25 You are asked to create a 95% Confidence Interval around the price for this sample. What is the Lower Bound for this confidence interval? I just want the answer. Use 2 decimal places for your answer and use the proper rules of rounding.Consider the following double sampling plan. First select a sample of 5 from a lotof 100. If there are four or more defectives in the sample, reject the lot. If there isone or fewer defective, accept the lot. If there are two or three defectives, samplean additional five items and reject the lot if the combined number of defectives inboth samples is five or more. If the lot has 10 defectives, what is the probabilitythat a lot passes the inspection? For the double sampling plan described in Problem 39, determine the following:b. The probability that the lot is rejected based on the second sample.
- 1.The most critical criterion in selecting a sampling technique is A.how well the sample represents the population being studied B.the size of the sample C.the sampling methodology used to select the sample D.the sampling unit 2.When examining a research problem, prior research a company has conducted on a previous research question would be classified as A.internal secondary data B.internal primary data C.external secondary data D.external primary data 3. The first step in the marketing research process is to define the issue or problem. The second step is to A.examine secondary data for relevant information B.conduct a primary research study C.decide if an outside research firm will be used or if the research will be conducted internally D.analyze and interpret the dataA production manager at a Contour Manufacturing planthas inspected the number of defective plastic molds in 5 randomsamples of 20 observations each. Following are the number ofdefective molds found in each sample:SampleNumber ofDefectsNumber ofObservationsin Sample11202220322041205020Total 6 100Construct a 3-sigma control chart (z 3) with this informationCompare and contrast the benefits and drawbacks of employing sampling to limit the amount of data items that must be shown. Is simple random sampling (without replacement) a viable sampling strategy? Why do you think that is?
- A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension Sample Air vent opening diameter (in mm 1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61 The sample data for a subsequent week had the values: 64, 69, 62, and 78. What conclusion can be reached about the state of the process?A medical facility does MRIs for sports injuries. Occasionally a test yields inconclusive results andmust be repeated. Using the following sample data and n = 200, determine the upper and lowercontrol limits for the fraction of retests using two-sigma limits. Is the process in control?SAMPLE1 2 3 4 5 6 7 8 9 10 11 12 13Number of retests 1 2 2 0 2 1 2 0 2 7 3 2 1What is the meaning of x ̅ ~ N (50, 2)? 1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2 2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 2 4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50