Topic 4: Non-Parametric Tests Q1 - A paint manufacturer is interested in determining whether there is a difference in th

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Topic 4 Non Parametric Tests Q1 A Paint Manufacturer Is Interested In Determining Whether There Is A Difference In Th 1 (48.6 KiB) Viewed 26 times

Topic 4: Non-Parametric Tests Q1 - A paint manufacturer is interested in determining whether there is a difference in the time it takes for two different brands of paint to dry once they have been applied to a wall surface. To test this, the company has selected a random sample of 5 walls and applied brand 1 and another 5 walls and applied brand 2. The following data reflect the actual drying time in hours: Brand 1 Brand 2 3.4 2.0 3.2 3.0 2.8 3.0 3.7 2.2 2.5 2.1 (a). If you are unwilling to make the assumptions necessary to use a t-test, what test would you recommend in this situation? (b). What would be the appropriate null and alternative hypothesis? Using an alpha level equal to 0.05, conduct the hypothesis test and state the conclusion. Q 2 - A farm manager wants to test a manufacturer's claim that cheaper fertilizer A is at least as effective as more expensive fertilizer B. Twenty identical plots of strawberries are randomly selected. Half are fertilized with A and half with B. The yields are to be recorded and a statistical test at the 5 percent significance level is to be made. The eventual results of the experiment are as follows: Fertilizer A Fertilizer B Plot Number Strawberry Output Plot Number Strawberry Output (quarts) (quarts) 3 91 1 79 4 97 2 90 85 5 80 88 6 95 86 8 83 93 10 93 80 14 85 16 80 17 82 19 84 TOHRS528 9 11 12 13 15 18 20 81 81 90