In: Statistics and Probability
a) A random sample of 10 hot drinks from Dispenser C had a mean
volume of 203 ml and a standard deviation of 3 ml. A random sample
of 15 hot drinks from Dispenser F gave corresponding values of 206
ml and 5 ml. The amount dispensed by each machine may be assumed to
normally distributed.
i) At 10% level of significance, test the hypothesis that there is
no difference in the ratio of variances volume dispensed by the two
machines.
ii) Test at 10% level of significance, the hypothesis that there is
no difference in the mean volume dispensed by the two machines.
A sociologist wishes to see whether the number of years of
college a person has completed is related to her or his place of
residence. A sample of 88 people is selected and classified as
shown.
Location
No college
Four-year degree
Advanced degree
Urban
15
12
8
Suburban
8
15
9
Rural
6
8
7
Use α = 0.10, test whether a person’s location is dependent on the
number of years of college.