Design and analysis of experiments montgomery free download






















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The material If an error were to occur while running the experiment, the cost of redoing the experiment is much more manageable with one of the small sequential experiments than the large comprehensive experiment.

Have you received an offer to obtain a credit card in the mail? Do you think the credit card company is conducting experiments to investigate which facors product the highest positive response rate to their offer? What potential factors in the experiment can you identify?

Interest rate, credit limit, old credit card pay-off amount, interest free period, gift points, others. Computer output for a random sample of data is shown below. Some of the quantities are missing. Compute the values of the missing quantities.

Variance Minimum Maximum Y 9 Sum Y 16? Consider the computer output shown below. What conclusion would you draw? Both sample variances are unknown but assumed equal. This is a two-sided test 2. This is a one-sided test.

Consider the following sample data: 9. Is it reasonable to assume that this data is from a normal distribution? Is there evidence to support a claim that the mean of the population is 10?

The data can be considered normal. This confidence interval contains 10, therefore there is evidence that the population mean is A computer program has produced the following output for the hypothesis testing problem: Difference in sample means: 2.

Reject the null hypothesis and conclude that there is a difference in the two samples. A computer program has produced the following output for the hypothesis testing problem: Difference in sample means: Accept the null hypothesis, there is no difference in the means. If the null hypothesis is two-sided, an upper bound on the P- value is a 0. Can the null hypothesis be rejected at the 0. SE Mean Y1 20 Yes, the P-Value of 0. Can you answer this question without doing any additional calculations?

Yes, no additional calculations are required because the test is naturally becoming more significant with the change from The breaking strength of a fiber is required to be at least psi. A random sample of four specimens is tested. What are your conclusions? A random sample of 16 batches of detergent is collected, and the average viscosity is The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.

A random sample of 10 shafts has an average diameter of 0. Find the sample size required to construct a 95 percent confidence interval on the mean that has total length of 1. The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the following results are obtained: Days a We would like to demonstrate that the mean shelf life exceeds days.

Set up appropriate hypotheses for investigating this claim. Consider the shelf life data in Problem 2. Can shelf life be described or modeled adequately by a normal distribution? What effect would violation of this assumption have on the test procedure you used in solving Problem 2. A normal probability plot, obtained from Minitab, is shown. There is no reason to doubt the adequacy of the normality assumption.

If shelf life is not normally distributed, then the impact of this on the t-test in problem 2. The time to repair an electronic instrument is a normally distributed random variable measured in hours. The repair time for 16 such instruments chosen at random are as follows: Hours a You wish to know if the mean repair time exceeds hours. Set up appropriate hypotheses for investigating this issue. Reconsider the repair time data in Problem 2.

Can repair time, in your opinion, be adequately modeled by a normal distribution? The normal probability plot below does not reveal any serious problem with the normality assumption. Two machines are used for filling plastic bottles with a net volume of The quality engineering department suspects that both machines fill to the same net volume, whether or not this volume is An experiment is performed by taking a random sample from the output of each machine.

Machine 1 Machine 2 Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of this plastic is important. The company will not adopt plastic 1 unless its breaking strength exceeds that of plastic 2 by at least 10 psi.

Based on the sample information, should they use plastic 1?



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