An improvement in the process has resulted in increase of Cpk from 0-06 to 0-09. Estimate the reduction in % of non-conforming products. (c) Assume the following : Process average has not changed, Cp Cpk and %3D process is in statistical control.
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- (a) Calculate a 95% two-sided CI for the true average bond strength. (b) Calculate a 95% two-sided CI for the proportion of all such bonds whosestrength values would exceed 10. show major intermediate steps.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) Predict the final grade for a student who misses five class periods and compute the residual. Is the observed final grade above or below average for this number of absences?
- Suppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo. The results are statistically significant at the 0.01 level. Has the experiment proven that the herbal remedy works?A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves n=1,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for five years. The following table displays data on hypertensive status measured at baseline and incident stroke over 5 years. Free of Stroke at 5 Years Stroke Baseline: Not Hypertensive 952 46 Baseline: Hypertensive 234 18 Compute the population attributable risk of stroke for patients with hypertension.The following monthly sales of chocolate boxes (in thousands of AUS dollars) have been recorded for January, February, March, and April, respectively: 9.5, 8, 9, 9. Examining sales forecast accuracy for the month of April only, explain which of the following forecasting method would you recommend: the Naïve method, the Average method, or the Simple exponential smoothing method (assuming alpha=0.8 and initial state of 8.5)?
- 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?
- Q3. Kaimura et al. (2000) investigated the effects of procyanidin B-2 tonic on human hair growth after sequential use for 6 months. In one part of the study, the total hair increase (total hairs at month 6 – total hairs at month 0) in the designated scalp area was measured for a sample of 15 men treated with a placebo control and a sample of 25 men treated with a procyanidin B-2 (PB2). The data is contained in the file A2Q3.csv. (This data is simulated based on information in the paper. You must use the data in the file to carry out the analysis). Is there evidence that the total hair increase of the subjects in the procyanidin B-2 group was greater the those in the placebo control group, at the 5% level of significance? State an appropriate null and alternative hypothesis in words and symbols.What is the difference between the critical value of z and the observed value of z?Natalie conducted a study on the effects of triclosan on three algae populations. She collected an algae sample from three different ponds, counted the number of algae cells present in the sample, and then exposed them to a 5 ppm aqueous solution of triclosan and re-counted the number of algae cells in each sample. Using a paired t-test, she obtained a p-value of 0.083 when comparing the original algae population sizes to the population sizes after exposure to triclosan. Natalie concluded that triclosan is toxic to algae because her data for the three samples showed a trend toward a reduction in population size. What could Natalie do to show a statistically significant effect of triclosan on algae population size? Justify your response.
