ragé proportion of defectives in first 10 samples of size 150 each was observed to be 0.04. What are the 1 in 1000 control limits? If later on it is noticed that machine is only producing 2% detective items what are the revised control limits on percent--defectives?
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- What is the RPI index? How can the defective product rate of a production process be determined by using the RPI index? The average distribution range of 2 samples consisting of 4 units is R = 10.8 mm. The tolerance limit is plus – minus 10 mm. Calculate the RPI and evaluate if it will reject. What happens to the reject situation if the tolerance limit is plus-minus 20 mm?A random sample of 100 patients treated in a program for alcoholism and drug dependency over the past 10 years was selected. It was determined that 53 of the patients had been readmitted to the program at least once. At the 95% level, construct an estimate of the population proportion.Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the test statistic? (please round your answer to two decimal places)
- Compute the average amount a supporter donates under each variant. Do your analysis separately for each party. For any party, are thre any variants statistically better than variant 1 at the 5% level? If so, report the p-value associated with the test of the best-performing variant. For our purposes, this is the variant that outperforms variant 1 by the greatest donation margin). Report your answer in PERCENTAGE FORM (decimal form multiplied by 100).A new drug, Drug X, is being tested in a clinical trial to treat patients with high blood pressure. To determine the effectiveness of Drug X, 100 patients are randomly selected and their blood pressure, in millimeters of Hg, are recorded. They are then prescribed with the drug for 10 weeks. After 10 weeks, their blood pressure is recorded again. Which of the following would be the BEST test to use on this type of scenario, assuming the assumptions are met? Two independent sample proportion z-test Chi-square test of homogeneity Analysis of Variance (ANOVA) Paired t-test Chi-square test of independence Two independent sample mean t-testA researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You may need to do an additional test to decide which test to apply for comparing the means)
- Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85. If a random sample of 25 specimens is selected, what would be the standard error of the mean?If the p-value of the chi-square test is __________ than the α (alpha) threshold, we could conclude that the observed relationship is __________ than that expected from Benford’s law.A graph for the non-conforming fraction used in a process with a sample size of 120 has the following parameters: (Image attached) a) Find the amplitude of the control limits in number of standard deviations. b) Find the limits for an equivalent control chart, for the number of non-conforming units. c) Determine the probability of not detecting a change in the mean of the process at 0.15
- Sixty teachers were interviewed regarding their opinion on the issue of increasing the number of years of basic education from 10 to 12years. Do these teachers differ significantly in their opinion on this issue? Test the claim at α=0.05. Agree – 32, Disagree – 10, Undecided – 18 What is the tabulated value and the statistical value?Suppose researchers are interested in estimating the prevalence of HIV in a population of adolescent intravenous drug users determined to equal 9.4% in the population. In order to estimate the prevalence of the disease, the researchers need to randomly sample from the population of potential participants in their study. Suppose the researchers are able to randomly sample 127 participants, and find that 29 are co-infected with the diseases of interest. can we approximate this distribution with the normal? Why? create a Z score for this sampleA random sample of 354 persons showed that 306 do not have health insurance. Calculate the point estimate of the population proportion of persons who do not have health insurance. Round to 4 decimal places.