If the average fraction defective of large sample of products is 0.1537. Calculate the control limits. (Given that sub-group size is 2,000) What modification do you need if the sub-group size is not constant?
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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?In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 20 met the particulate emission standard. What is the test statistic to see whether the proportion is below the requirement?If you have a sample size of 50 and you are comparing 3 groups at the .05 level- what is the critical F value?
- In knee surgery, the doctors considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears longer than 25 millimeters, 14 out of 18 repairs were successful, meanwhile for shorter tears, 22 out of 30 repairs were successful in the surgery. (i) If no estimation of the sample proportion for the longer tears that were successful given, what sample size is needed if we are 90% confident that the margin of error can be reduced to 1%?In the real world, what are some examples of data sources that, even with large sample sizes, will not trigger the central limit theorem?We want to use a z-test to determine if the sample mean is less than 30 at alpha = 0.05. Use the z-table to find the critical value(s)
- What is the kurtosis for a distribution with a mean of 12.00 and a mode of 12.00?If μ= 39.44 and σ=3, what is the critical value for the 95% interval when x̄=40 with sample size n=182?A random sample of 100 4-oz packs of roasted peanuts yields an average weight of 3.91 oz. Assume that the s.d. of this brand of 4-oz packs of roasted peanuts is 0.35 oz. Does this sampling result suggest that the overall average weight of this brand of 4-oz packs of roasted peanuts is below 4 oz? Use an appropriate p-value to draw and explain your conclusions
- Twenty-five samples of 100 items each were inspected when a process was consideredto be operating satisfactorily. In the 25 samples, a total of 135 items were found to bedefective.a. What is an estimate of the proportion defective when the process is in control?b. What is the standard error of the proportion if samples of size 100 will be used forstatistical process control?c. Compute the upper and lower control limits for the control chart1.State why the median is reliable to report as the middle value of the data than the mean when there are outliers in the data. 2.comment on the kurtosis coefficient 3.010 and 6.342It is believed that the proportion of patients who develop pulmonary complications after undergoing cardiac surgery is 8%. How large should the sample size for two groups (Intervention vs. Control) if an investigator wishes to detect a relative reduction of 25% in the pulmonary complication rate after implementing the preoperative intervention, assumed a power of 90% and a Type I error of 0.05?