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The metal body for a spark plug is made by a combination of cold extrusion and machining. The occurrence of surface cracking following the extrusion process has been shown by Pareto diagrams to be responsible for producing virtually all of the defective parts. To identify opportunities for improvement, you have been using a control chart to monitor the process. The probability of a false alarm is 0.0056
a. On average, how many samples will you take before getting an out of control signal?
b. What is the probability that there will be no false alarms in the next 15 samples taken?
c. What is the probability that there will be at least one false alarm in the next 50 samples?
d. In a standard control chart the control limits are 3 standard deviations away from the mean, and the probability of a false alarm is 0.0027. Given that the probability of a false alarm for this chart is .0056, how many standard deviations away from the center line are the control limits?
e. Suppose the process mean shifts such that the probability of detecting the shift is 0.30. What is b?
f. What is the probability of failing to detect the shift by the 9th sample collected?
The following indices: z, t, F, r, Chi square. Using the data below, show that analyses using each of the three statistics yields the same or similar outcomes.
Take your data and arrange it in the order you collected it. Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N.
He measures the heights of 25 men from this century and finds the mean and standard deviation for his sample.
on a certain anxiety questionnaire the population is known to have a mean of 12 and a standard deviation of 2.3. a
The city of denver wishes to see if there is a linear relationship between temperature and the amount of electricity used (in kilowatts) Based on the data below, is there a significant linear relationship between temperature and the amount of elec..
The U.S. National Center for Health Statistics. Suppose that we randomly select fifteen 20-year-olds. How many do you expect to still be alive at age 65?
facebook email electronic commerce and collaborative sites for both work and leisure are a normal part of our everyday
in a study to determine the mean iq score of college students 450 students were randomly selected and the mean iq was
Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing each day with other ..
What is the correlation, and why is it so high? Since all of the guessed weights were higher than the actual weights, does that influence the correlation at all?
In a standard test for reaction time, female candidates for flight school are found to have times that are normally distributed with a mean of 0.65 seconds and a standard deviation of 0.15 seconds.
if the computed value of a chi-square statistic is less than the critical chi-square value reject the null hypothesis
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