The error measurement that gives weight based on the relative error is: Bias Residual O MSE O MAD MAPE
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- Explain the means and the use of variance and the Standard Deviation. Support your answer with example1. Statistical process control, hypothesis testing, and control charts Consumers value prompt service when they order takeout or delivered pizza, and pizza restaurants compete for customers by making time promises. Papa John's, for instance, offers a 10-minute takeout guarantee. Domino's advertises a 30-minute delivery time. Suppose that the quality control manager at a nationwide pizza chain defines this production variable: An order is processed on time or late. Every night, a random sample of pizza orders is selected, and data are collected on the production variable for each order in the sample. To detect a change in the number of orders that are late, the quality control manager uses Based on the control chart, the quality control manager decides that the variation in output is due to assignable causes. Consequently, the manager concludes that the production process is ; it is Statistical procedures for process control use a hypothesis-testing framework. The null and alternative…3/ Parallax error comes under which of the following error? a. Aging Error b. Human Error c. Static Error d. Stochastic Error
- The time to deliver packaged containers by a logistics company is found fromsamples of size 4. The mean and standard deviation of delivery times is estimated tobe 140 hours and 6 hours, respectively.(a) Find the 2 sigma and 3 sigma control limits for the average delivery time.(b) Explain a type I and type II error specifically in this context.(c) If the mean delivery time shifts to 145 hours, what is the probability of notdetecting this by the second sample after the shift?(d) What is the ARL? ExplainBill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)Webster Chemical’s nominal weight for filling tubes of caulk is 8.00 ounces ± 0.60 ounces. The target process capability ratio is 1.33. The current distribution of the filling process is centered on 8.054 ounces with a standard deviation of 0.192 ounces. Compute the process capability ratios Cp and Cpk to assess whether the filling process is capable and set properly.
- The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yr2. A beverage company would like to use a mean chart to monitor how much liquid beverage it puts into each 500-ml bottle. They know from experience that whenever this process is under control, bottle weight is normally distributed with a mean of 500 ml and a standard deviation of 2 ml. The company plans to measure samples of 30 bottles from the production lineevery hour and record the mean weight of liquid beverage in the bottles. If the company uses z = 3 as its standard for establishing the mean chart, where will the upper and lower control limits be on the chart? (Noteshaper: Scenario #28)Ferric chloride is used as a flux in some types of extraction metallurgy processes. This material is shipped in containers, and the container weight varies. It is important to obtain an accurate estimate of mean container weight. Suppose that from long experience a reliable value for the standard deviation of flux container weight is determined to be 4 lb. How large a sample would be required to construct a 95% two-sided confidence interval on the mean that has a total width of 1 lb? 2.