Economic Order Quantity and Decimal Places

13. Which of the following characteristics makes it EASIER to measure the quality of a service, relative to that of a product or facilitating good?

9. Write a line of code that initializes the double precision variable bankBalance to 136.05.

We know that +/- 1.96 standard deviations from the mean will contain 95% of the values. So, we can get the standard deviation by:

2. In order to determine the average amount spent in November on Amazon.com a random sample of 144 Amazon accounts were selected. The sample mean amount spent in November was $250 with a standard deviation of $25. Assuming that the population standard deviation is unknown, what is a 95% confidence interval for the population mean amount spent on Amazon.com in November?

A process that monitors standards by take measurements and corrective action as needed. It is in control when only variation is natural, if variation is assignable then discover cause eliminate it. Take samples to inspect/ measure- reduce inspection time, reduce opportunity of bad quality. Control charts graph of process data over time-show natural and assignable causes. Control charts for variable data (characteristic that is measured, length,height, etc) are X-chart (average) and R-chart (range)must use x and r to get correct results. central limit theorem follow normal curve. When we know . When we don’t know . Control charts for attributes (categorical-defective, good/bad) P-chart (percent) or C-chart

Weight 10 dry post-82 pennies which get 77.12g, using 30ml initial volume measuring the volume of 10 pennies, record the data 9.1ml. Using equation Density= Mass/Volume, get the density of the pre-82 pennies is 8.47g/ml. Then calculate the error%=0.04%, and the deviation%=7.13%.

σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389,

5. Find the sample variance s2 for the following sample data. Round your answer to the nearest hundredth.

This type of chart is used when one wants to identify the total number of defects that have occurred during a sampling period. The number of samples that occur during the period are essentially the same. This chart has the number of defects on the vertical axis and the number of samples (weeks) on the horizontal axis. The sample size for this problem is over a period of 20 weeks, where a new process was implemented at week 11. Since a new plan was implemented, it caused the two different graphs to appear. The first graph, which occurs before week 11, has a UCL of 28.4 and an average of 16.3. A UCL stands for an upper control limit, which is generally 3 standard errors from the median, and is always the top line of the graph. The median is used as the centerline of the graph. An LCL is apparent in the graph (bottom line), but no exact value is given. The points that are shown on the graph are the “statistical measurement samples taken from the process at different times” (Control Charts PPT., 25, 2016). The second graph, which occurs after week 11, has a UCL of 7.4 and an average of 2.6. This subgroup is also complete with an upper UCL line and a median centerline. After week 11, a new plan was implemented into the hospital to reduce the number of defects. The plan that they used decreased the total number of defects, decreased the UCL, average, and LCL. A strategy that may have been able to reduce the amount of defects was Six Sigma. Six Sigma would work for this type of scenario because it measures how many defects exist in a process and you can figure out how to eliminate them all

2. For the following set of scores, fill in the cells. The mean is 74.13 and the standard deviation is 9.98.

C. An unknown, rectangular substance measures 3.6 cm high, 4.21 cm long, and 1.17 cm wide.

30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.

Quality Associates, Inc., a consulting firm advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application a client gave Quality Associates a sample of 800 observations taken during a time in which the client’s process was operating satisfactorily. The sample standard deviation of this data was 0.21; hence with so much data, the population standard deviation was assumed to be 0.21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. When the process was not operating satisfactorily, corrective action could be taken to eliminate the problem. The design specification indicated the mean for the process should be 12. The hypothesis test suggested by Quality Associates follows.

In this case, the extruder output should have a standard deviation of 1.667 thou.  What proportion of the rubber extruded will be within specifications in this case?

In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant. The first step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering: