Refrigerators have a mean life of 15 years with a standard deviation of 1.5 years. Assuming that the life of refrigerators is normally distributed, then the majority of refrigerators will have lifetimes in what range? Hint: Use the Empirical Rule. O 10.5 to 19.5 years O 12 to 16.5 years O 13.5 to 16.5 years

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Refrigerators have a mean life of 15 years with a standard deviation of 1.5 years. Assuming that the life of
refrigerators is normally distributed, then the majority of refrigerators will have lifetimes in what range? Hint: Use
the Empirical Rule.
O 10.5 to 19.5 years
O 12 to 16.5 years
O 13.5 to 16.5 years
O 10.5 to 16.5 years
O 12 to 18 years
Transcribed Image Text:Refrigerators have a mean life of 15 years with a standard deviation of 1.5 years. Assuming that the life of refrigerators is normally distributed, then the majority of refrigerators will have lifetimes in what range? Hint: Use the Empirical Rule. O 10.5 to 19.5 years O 12 to 16.5 years O 13.5 to 16.5 years O 10.5 to 16.5 years O 12 to 18 years
Expert Solution
Step 1

Empirical Rule:

    • 68% of values lies between one standard deviation from the mean, μ±σ
    • 95% of values lies between two standard deviation from the mean, μ±2σ
    • 99.7% of values lies between three standard deviations from the mean, μ±3σ.

 

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