Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Oct-2001 - Nov-2016

Category > Management Posted 12 Feb 2018 My Price 9.00

hildren’s sleepwear

Refer to Exercises 16.11 and 16.12 about testing the flammability of children’s sleepwear. Assuming that the equal standard deviations assumption is valid, calculate 95% confidence intervals for each of μ1, μ2, μ3, μ4, and μ5. The output for Exercise 16.12 shows the sample means and the pooled standard deviation.

Exercises 16.12

Refer to Exercise 16.11 about testing the flammability of children’s sleepwear. Output for a one-way analysis of variance of the data is the following:

a. Write null and alternative hypotheses for comparing the mean char lengths for the five labs. State the hypotheses in words, and also state them using statistical notation. To what populations do these hypotheses apply?

b. Are there statistically significant differences among the labs? Justify your answer using the F-statistic and p-value found in the output.

c. Draw a sketch illustrating how the p-value was de termined for this problem. See Figure 16.4 (p. 623) for guidance.

d. Based on the sample means and the 95% confidence intervals given for the population means, describe the differences among the five laboratories. Be specific about which laboratories appear to have different mean values from the others.

Exercise 16.11

To evaluate a standard test of the flammability of fabric for children’s sleepwear, the American Society for Testing Materials had five laboratories each test 11 pieces of the same type of fabric. The response variable is the length of the char mark made when the fabric sample is held over a flame for a specified time period. Ideally, all labs using the standardized test to test the same fabric should observe about the same value for this response variable. Ryan and Joiner (2001, p. 269) give the following data for the observed char lengths. (The measurement unit was not specified by Ryan and Joiner.)

a. Graph the data in a way that is useful for comparing the laboratories. Describe any differences among laboratories that can be identified in your graph.

b. Use the graph drawn for part (a) to assess whether the necessary conditions are present for using one-way analysis of variance to compare the five laboratories.

Answers

Maurice Tutor
(5)
Status NEW Posted 12 Feb 2018 08:02 PM My Price 9.00

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