1.
The following sample data shows the use of plastic (debit and credit) cards versus
cash/cheque by four age groups:
Age Group 18-24, 25-34, 35-44, 45 and over
Payment Method
plastic 21, 27, 27, 36
cash or cheque 21, 36, 42, 90
Test for independence between method of payment and age group. Use the p-value approach
and α = 0.05. To make it easier to compare answers, please round off to two decimal places.
2. Consider the following effects of three treatments
A B C
23 33 25
34 25 23
26 35 32
33 29 35
24 32 22
24 26 34
22 26 29
31 33 36
32 33
31 35
mean 27.1 30.2 30.4
Sample Standard deviation 4.8 3.5 5.3
At α = 0.05 is there a significant difference between the treament means? To make our
numbers easier to compare, you can round off the overall mean to one decimal place. Don’t
forget to provide an ANOVA table