Question

What test would you use for the following...

a

A new windshield treatment claims to repel water more effectively. Ten windshields are tested by simulating rain without the new treatment. The same windshields are then treated, and the experiment is run again. A hypothesis test is conducted.

b

The average worker in Germany gets eight weeks of paid vacation.

c

It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of 31 females had a mean score of 82 with a standard deviation of three, and a random sample of 25 males had a mean score of 76 with a standard deviation of four.

d

A high school principal claims that 30% of student athletes drive themselves to school, while 4% of non-athletes drive themselves to school. In a sample of 20 student athletes, 45% drive themselves to school. In a sample of 35 non-athlete students, 6% drive themselves to school. Is the percent of student athletes who drive themselves to school more than the percent of nonathletes?

Answer 1

(a) We should use a paired samples t-test for difference of means to check whether the new windshield treatment is effective or not.

(b) We should use a one sample t-test for mean here.

(c) We should use an independent samples t-test for difference of means to check whether the score of females is higher than that of males.

(d) We should use a two sample proportion z-test for difference of proportions to check whether the proportion of athletes driving to school is more than the proportion of non-athletes driving to school.