The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor H= 42.0 H= 54.0 o = 8.7 in a particular year, the Best Actor was 39 years old and the Best Supporting Actor was 83 years old. O = 13 Determine the z-scores for each. Best Actor: z = -0.34 Best Supporting Actor: z = 2.23 Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was less than 1 standard deviation below the mean, which is not' unusual. The Best Supporting Actor was more than 2 standard deviations above the mean, which is unusual.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are
approximately bell-shaped. Compare the z-scores for the actors in the following situation.
Best Actor
Best Supporting Actor
μ 42.0
H = 54.0
o = 8.7
O = 13
In a particular year, the Best Actor was 39 years old and the Best Supporting Actor was 83 years old.
Determine the z-scores for each.
Best Actor: z =
-0.34
Best Supporting Actor: z =
2.23
(Round to two decimal places as needed.)
Interpret the z-scores.
The Best Actor was less than 1 standard deviation below the mean, which is not unusual. The Best Supporting Actor was
more than 2 standard deviations above the mean, which
is
unusual.
Transcribed Image Text:The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor μ 42.0 H = 54.0 o = 8.7 O = 13 In a particular year, the Best Actor was 39 years old and the Best Supporting Actor was 83 years old. Determine the z-scores for each. Best Actor: z = -0.34 Best Supporting Actor: z = 2.23 (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was less than 1 standard deviation below the mean, which is not unusual. The Best Supporting Actor was more than 2 standard deviations above the mean, which is unusual.
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