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68-95-99.7 Rule

So
LEARNING OBJECTIVE: Identify the percent of data that is between two values
using a given standard deviation, mean, and the 68-95-99.7 rule.
68
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50
with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of
customers are willing to pay between $1.30 and $1.70 for a pint of frozen
yogurt?
T

User Adam Gritt
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1 Answer

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9514 1404 393

Answer:

95%

Explanation:

The given limits differ from the mean by ...

1.30 -1.50 = -0.20

1.70 -1.50 = 0.20

These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.

For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.

User Boardtc
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