As part of a project for their Intro Stat course, two studentscompared two brands of chips, Frito Lays and Golden Flakes, to seewhich company gives you more for your money. Five bags of eachbrand (which, according to the label, each contained 35.4 grams)were measured with a very accurate scale. Use the Wilcoxon Rank-Sumtest to see if there are any significant differences between thetwo brands in the amount of product they put in their bags.
Frito Lays: 35.3 35.4 35.8 35.9 35.9
Golden Flake: 35.3 37.8 38.8 38.1 42.5 8.
1. The null hypothesis is about:
(a) the mean contents of the bags for Frito Lays and Golden Flakesbrands
(b) the mode of the contents of the bags for Frito Lays and GoldenFlakes brands
(c) the distribution of the contents of the bags for the twobrands
(d) the number of bags with contents below the label weight for thetwo brands 9.
2. The alternative hypothesis, according to the problem statedabove, is that:
(a) Frito Lays gives you more chips than Golden Flakes
(b) Frito Lays gives you less chips than Golden Flakes
(c) Frito Lays gives you either more or less chips than GoldenFlakes
(d) Golden Flakes gives you more chips than the amount stated onthe label 10.
3. The bags that contained 35.9 grams will receive a rank of:
(a) 4
(b) 4.5
(c) 5
(d) 5.5
4. The p-value for the test was 0.1164. We conclude that:
(a) Frito Lays gives you more chips.
(b) Golden Flakes gives you more chips.
(c) There is not enough evidence to prove a difference between thetwo brands.
(d) There is enough evidence to prove a difference between the twobrands
5. If the assumptions for the Normal based procedure weresatisfied, we could analyze the data with a confidence intervalfor:
12
(a) μ
(b) μ1-μ2
(c) μd
d) η1- η 2
6. Why is it not a good idea to use the Normal-based procedurehere?
(a) the data was not randomly selected
(b) the data does not have a continuous distribution
(c) the outlier violates the assumption of Normality
(d) the nonparametric method is always better
7. Which of the following kinds of data should be analyzed withnon-parametric procedures?
(a) normal
(b) continuous
(c) ranks
(d) all of the above
8. Given that all the necessary assumptions for each test aresatisfied, which are more powerful at finding significantdifferences?
(a) Nonparametric procedures, since their assumptions are generallyeasier to satisfy.
(b) Normal-based procedures, since they take into consideration theshape of the distribution.
(c) Nonparametric procedures, since their assumptions are generallyharder to satisfy.
(d) Normal-based procedures, since they work for distributions ofalmost any shape.