In: Statistics and Probability
Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for the following situation:
i. Comparison of mean recycling participation between 9 large cities and 11 small cities
ii. Comparison of the weights of 16 Toronto Maple Leaf rookies at the beginning versus the end of the regular NHL season.
iii. Comparison of fin length of 35 male and 37 female brook trout sampled in Spruce Lake, Nottingham Forest.
iv. Comparison of the mass of 100 grain fed calves versus 100 grazing calves.
v. Comparison of body weights of 16 male and 23 female students from Grade 9 classes at a high school.
Ans:
i. Comparison of mean recycling participation between 9 large cities and 11 small cities
independent samples t-test,as there are two independent samples of 9 large cities and 11 small cities.
ii. Comparison of the weights of 16 Toronto Maple Leaf rookies at the beginning versus the end of the regular NHL season.
dependent samples t-test,as samples are repeated measures on the same subjects.
iii. Comparison of fin length of 35 male and 37 female brook trout sampled in Spruce Lake, Nottingham Forest.
independent samples t-test,as there are two independent samples of 35 male and 37 female.
iv. Comparison of the mass of 100 grain fed calves versus 100 grazing calves.
independent samples z-test,as samples are independent and are very large samples.
v. Comparison of body weights of 16 male and 23 female students from Grade 9 classes at a high school.
independent samples t-test,as there are two independent samples of 16 male and 23 female students.