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- The following values of saturation drain current ( ID, sat ) were collected from several test wafers with a sample size of n = 5. Calculate the centerlines and control limits.State the t critical value that would be used for a 99% interval based on a sample size of 37.A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted Uncarpeted 7.5 14.9 9.4 5.1 10.6 4.2 9.2 12.7 9.9 13.3 9.3 4.2 6.9 11.1 7.5 12.5 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. H0: μ1=μ2 H1: μ1>μ2 This is the correct answer. B. H0: μ1<μ2 H1: μ1>μ2 C. H0: μ1=μ2 H1: μ1≠μ2 D. H0: μ1=μ2 H1: μ1<μ2 Your answer is not correct. Determine the P-value for this hypothesis test. P-value=nothing…
- A manufacturer producing cocacola drinks wanted to set the specification of production to achieve process capability. He set his Upper Control Limit (UCL) = 0.03, proportion of defective items as 0.02. Calculate the number of sample observations (n) to be used to ensure 99.74 of the value.Twenty-five samples of size 5 resulted in x = 5.42 and R = 2.0. Compute control limitsfor the x and R charts, and estimate the standard deviation of the process.With alpha level = .01, two tails, critical region for a t test using a sample of n = 16 subjects, what would be the boundaries needed for the t test?
- Twenty-five samples, each of size 5, are drawn from a process at one-hourintervals, and the following data are obtained: Calculate trial control limits for ?̅ and S charts.In experiments to determine the effectiveness of drugs such as anti-fungal ointments that are applied to the skin, the concentration of the drug in a patient’s skin must be measured. The article “Determining Bioequivalence of Topical Dermatological Drug Products by Tape- Stripping” (W. Navidi, A. Hutchinson, et al., Journal of Pharmacokinetics and Pharmacodynamics, 2008:213–220) describes an improved method of measuring that is designed to ensure that all the drug in the skin is recovered. Assume that in an experiment using the old method, the mean amount of drug recovered from a sample of 49 patients was 105 ng with a standard deviation of 20 ng, and that in an experiment using the new method the mean amount of drug recovered in a sample of 35 patients was 117 ng with a standard deviation of 15 ng. Find a 98% confidence interval for the difference in the mean amounts recovered between the two methods.Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits.
- over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d)over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d).f. which control chart would be preferred in this situation? Explain.over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?