# a XR21-48a A random sample of 30 people was asked to rate each of four different premium brands of..

a XR21-48a A random sample of 30 people was
asked to rate each of four different premium brands of coffee. The ratings are

Excellent

Good

Fair

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 XR21-48b 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?

a XR21-49 Refer to Example 21.6. Suppose
that the
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a XR21-48a A random sample of 30 people was
asked to rate each of four different premium brands of coffee. The ratings are

Excellent

Good

Fair

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 XR21-48b 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?

a XR21-49 Refer to Example 21.6. Suppose
that the responses were recoded so that the numbers equalled the midpoint of
the range of percentiles; that is,

97.5 = The candidate is in the top 5% of
applicants.

92.5 = The candidate is in the top 10% of
applicants, but not in the top 5%.

82.5 = The candidate is in the top 25% of
applicants, but not in the top 10%.

62.5 = The candidate is in the top 50% of
applicants, but not in the top 25%.

25 = The candidate is in the bottom 50% of
applicants.

Can we conclude that differences exist
between the ratings assigned by the four managers?

b Compare your answer in part (a) with the
one obtained in Example 21.6. Are they the same? Explain why.

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