Question
Flammability tests were conducted on children's sleepwear. Pieces of fabric were burned under controlled conditions using the vertical semirestrained test. After the burning stopped, the
Flammability tests were conducted on children's sleepwear. Pieces of fabric were burned under controlled conditions using the vertical semirestrained test. After the burning stopped, the length of the charred portion was measured and recorded. Results are given to the right for the same fabric tested at different laboratories. Did the different laboratories obtain the same results? Use the Kruskal-Wallis test and a 0.01 significance level. | Lab 1 | Lab 2 | Lab 3 | Lab 4 | Lab 5 | |
---|---|---|---|---|---|---|
2.4 | 2.8 | 4.3 | 3.1 | 2.9 | ||
4.0 | 3.1 | 2.8 | 2.8 | 3.7 | ||
3.0 | 2.4 | 3.4 | 3.1 | 4.2 | ||
3.2 | 3.2 | 3.0 | 2.5 | 2.3 | ||
3.9 | 4.4 | 4.1 | 2.7 | 4.2 | ||
2.7 | 3.6 | 3.0 | 2.6 | |||
2.5 | 3.9 | 4.0 | ||||
State the null and alternative hypotheses.
H0: The samples come from populations with (unequal or equal) (distributions, means, range, variances,or medians)
H1: The samples come from populations with (distributions, means, range, variances, or medians) that are (all equal or not all equal) The test statistic is H equals=____ (Round to three decimal places as needed.)
The critical value is ____ (Round to three decimal places asneeded.) Since the test statistic is (less than or greater than) the critical value, (reject or fail to reject) the null hypothesis. There is (sufficient or insufficient) evidence to conclude that the laboratories obtained different results.
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