Please simply write the letter for the test as your answer. [You can add brief e
ID: 3063767 • Letter: P
Question
Please simply write the letter for the test as your answer. [You can add brief explanation.]
A: one sample z-test
B: one-sample t-test
C: t-test for the difference between means for two related samples
D: t-test for the difference between means for two independent samples with homogeneity of variance
E: t-test for the difference between means for two independent samples with heterogeneity of variance
F: Wilcoxon test
G: Mann-Whitney test
H: a one sample z-test for proportions (or a chi-square goodness of fit)
I: chi-square goodness of fit only (where a one sample z-test of proportions is not appropriate)
J: a two sample z-test for the difference between proportions (or a chi-square test of independence)
K: chi-square test of independence only (where a two sample z-test for proportions is not appropriate.)
L: a sign test
M: none of the above
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1. While traveling through South America, a student decides to analyze which country is the friendliest. He measures friendliness by seeing whether or not a person, when asked for directions, gives a reply. The four countries analyzed are Argentina, Chile, Brazil, and Uruguay. He is doing a significance test.
2. The DMV gives a “good driver written test” to students in a driver education class and to people convicted of DUIs. You want to test to see if one of the groups does better than the other one. (You are merely testing for existence.) The data is below. (Note to the person who wrote this question: I changed your data.)
Driver Ed students: 78, 86, 84, 85, 80, 89, 82, 88, 84, 85, 87, 91
D.U.I. convicts 67, 74, 58, 33, 72, 98, 80, 49, 64, 70, 73, 88
3. We test to see if time of day (morning, noon, or night) affects the number of jelly beans a person is likely to eat. The data are strongly skewed, and we don’t feel comfortable estimating the means.
4. Timmy wants to test and see if a person’s gender is related to whether or not he/she is a sports fan.
5. Sandy was interested in how long it took an individual to complete an exam when there was a crow crowing outside the window. She had two groups, one that was exposed to the bird and one that wasn’t. She test with the crow would take longer. The data are below:
Crow: 36 49 51 38 49 50 36 37
No Crow: 42 29 28 41 31 30 43 42
6. A national average has shown that the average number of hours of internet use per day is 2.3. Michelle thinks that UCI students use the internet more than average, so she gets a sample of 345 UCI students and tests to see if there is a significant result.
7. James heard that of the students attending UC campuses, 80% are from California, 10% from other states in the United States, and 10% from other countries. He wants to see if this is true for his stats class at UCI. He takes a sample of 65 students: ten are from other countries; three are from other states; and 52 are from California. What should he do to see if his class is like all UC campuses?
8. Professor Johansson expects 75% of his students to have completed all their reading. He takes a sample of 24 students to see if he is likely to be correct.
Explanation / Answer
1)M) None of the tests here can be used as the responses that are to be compared here is of four countries.
None of the test mentioned can compare responses from four group together.
2) E
the variance of the two group cannot be considered to be equal
3)F
A non-parametric test will be used as the data is strongly skewed
4) K
The Chi-Square test of Independence is used to determine if there is a significant relationship between two nominal (categorical) variables.