Exercises $20.46-20.58$ require the use of a computer and software. Use a $5 \%$ significance level unless specified otherwise.
a XR20-47a A random sample of 30 people was asked to rate each of four different premium brands of coffee. The ratings are
$\bullet$ Excellent
$\bullet$ Good
$\bullet$ Fair
$\bullet$ Poor
The responses were assigned numbers 1 through 4 respectively. Can we infer that differences exist between the ratings of the four brands of coffee?
b XR20-47b Suppose that the codes were 12,31,66, and 72 respectively. Can we infer that differences exist between the ratings of the four brands of coffee?
c Compare your answers in parts (a) and (b). Why are they identical?