Reconsider the situation described in Exercise 81 of Chapter 9 and the accompanying Minitab output (the Greek letter eta is used to denote a median).
In Exercise 81
The accompanying data on response time appeared in the article "The Extinguishment of Fires Using Low-Flow Water Hose Streams-Part II" (Fire Technology, 1991: 291-320).

a. Verify that the value of Minitab's test statistic is correct.
b. Carry out an appropriate test of hypotheses using a significance level of .01.

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Good visibility 43 1.17.37 47 68 58.50 2.75 Poor visibility .47 .80 158 1.53 4.33 4.23 3.25 3.22 Mann-Whitney Confidence Interval and Test good poor point estimate for ETA-ETA2 is 95.9 percent C1 for ETA-ETA2 İs (-3.160, -0.409) W = 41 . O N=8 N=8 Median= 0 . 540 Median-2.400 -1.155 ETA2 İs Test of ETA1 = ETA2 vs ETA1 significant at o.o027