Question

For the following questions , identify the type of test that should be used. Simply use the corresponding letter: A) One-sample z test (for a mean); B) One-sample t-test; C) One-sample z-test for a proportion (or a chi-squared goodness-of-fit); D) Chi-square goodness of fit (and a z-test is not appropriate); E) Two-sample z-test for a difference between proportions (or a chi-squared test for independence); F) Chi-square test for independence (and a z-test is not appropriate); G) Simple regression; H) Multiple regression; I) Two-independent samples t-test (with homogeneity of variance); J) Two-independent samples t-test (without homogeneity of variance);       K) Two-related samples t-test; L) One-way (independent measures) ANOVA; M) One-way Repeated measures ANOVA; N) Two-way ANOVA (independent, mixed, or repeated measures); O) Mann-Whitney; P) Wilcoxon; Q) Kruskal-Wallis; R) Friedman; If you are going down the interval/ratio branch, it is safe to use parametric measures, unless something is directly stated that clearly indicates otherwise, or unless the data strongly and unambiguously indicates otherwise. Similarly, it is safe to assume homogeneity of variance unless it is clearly indicated otherwise. Do not try to analyze whether or not the experiment is tenable or practical or flawless. This is not your concern right now. Most of the below were written by students in this class.

1.         Amy wants to see if the length of stay is the same or different for three different hospitals: St. Vincent, St Joseph, and St. Stephens.

2.         Do UCI students like Dachshunds or Corgis more? 100 UCI students are asked which breed they like more. [Note to who wrote this: I’ve changed the question a bit. The answer has changed.]

3.         Martha was interested in how music affects how long it takes an individual to complete a reading assignment. She had two groups – one that was exposed to music and one that wasn’t. The data are below. [Note to the student who wrote this: I changed your data.]

            Music:               46, 44, 49, 45, 44, 46, 43, 45, 47, 45, 41                                                                                                                                                                  

            No Music:         11, 15, 17, 15, 13, 16, 14, 15, 19, 14, 16                                                                                                                                                                                          

Answer 1

1) one way independent ANOVA is to be used

Answer : L

2) we have to test the 2 samples for equality of proportion

Answer : I

3) to check the effect of music we have to perform a two sample t test where the two samples are related

Answer : K