1. Reacting to a skeptical reader who doubts that so-called wine connoisseurs can really tell the differ- ence between cheap and expensive wines, the dining editor of a city newspaper sets up a test in which each of five connoisseurs is asked to taste three unidentified wines, then rate each one on a scale of 1 ("poor") to 10 ("excellent"). Unknown to the raters, wine 1 is $1.50 per gallon Elderberry, wine 2 is $8 per liter Rhine, and wine 3 is $35 per liter Cabernet Sauvignon. Their ratings are in file XR14083. Considering the wine categories as "treatments" and the tasters as "blocks," and using the 0.05 level of significance, advise the dining editor as to how to respond to this reader when he writes his next column dealing with wine. Identify and interpret the p-value for the test.
2. Five computer operators have been asked to rate four different workstation arrangements in terms of comfort with 1 5 very uncomfortable to 10 5 very comfortable. Their ratings are in file XR14084. At the 0.05 level, could the workstation arrangements be equally comfortable? Identify and interpret the p-value for the test.
3. The weights (in ounces) of the first 34 units in a production run of cast-iron flywheels are in fileXR14085. Using the 0.10 level of significance, test the randomness of this sequence of measurements. Identify and interpret the p-value for the test.
4. Apply either the chi-square or the Kolmogorov- Smirnov test for normality to the data described in Exercise 14.85. At the 0.05 level of significance, could the data have come from a normal population?