Question

In: Statistics and Probability

Match the scenario with the most appropriate statistical test to use Hint: Some statistical tests will...

Match the scenario with the most appropriate statistical test to use

Hint: Some statistical tests will match with more than one scenario. Pay attention to the symbols used to give you information about whether the mean and standard deviation come from populations or samples.

A. Z-test

B. One sample t-test

C. Independent Sample t-test

D. related samples t-test

1. A.       B.       C.       D.   

The effect of chewing mint (M=85, s=2) vs. fruit gum (M=80, s=3) on test performance
2. A.       B.       C.       D.   

The average age of college students in America (M=22, s=5) vs. Europe (µ=24, σ=4)
3. A.       B.       C.       D.

Temple student athletes’ GPA (M=3.6, s=1.5) vs. the national average for student athletes (µ=2.9, σ=?)
4. A.       B.       C.       D.   

Quiz scores before (M=65, s=3) vs. after (M=85, s=3) a unit on the topic is taught in class
5. A.       B.       C.       D.   

Average number of drinks per week a Temple student drinks (M=2, s=5) vs. average number of drinks per week all Philadelphia college students drink (µ=5, σ=?)
6. A.       B.       C.       D.   

Number of homework problems correct on even (M=9, s=.5) vs. odd ( M=10, s=.2) numbered questions (each student assigned both even and odd problems)
7. A.       B.       C.       D.   

Exam scores for male students (M=87, s=2) vs. female students (M=84, s=3) in a STEM class
8. A.       B.       C.       D.   

Average proportion of students who apply to college from public (µ=.56, σ=.25) vs. private high schools (µ=.76, σ=.34)

Solutions

Expert Solution

(1) Two different populations, unknown standard deviations: Option C : independent samples t test.

______________________________

(2) Single mean vs Population, known standard deviation. Option A : Z test.

______________________________

(3) Single mean vs Population, unknown standard deviation. Option B : t test.

______________________________

(4) Same population (before vs after effect) : Option D: Related samples t test

________________________________

(5) Single mean vs Population, unknown standard deviation. Option B : t test.

______________________________

(6) Same population, 2 different means, unknown standard deviation : Option C: Independent samples t test

________________________________

(7) Two different populations, unknown standard deviations: Option C : independent samples t test.

______________________________

(8) Two different populations, known standard deviations: Option A : Z test.

______________________________

orchestra answered 2 years ago
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