Mathematics, 22.04.2020 22:43 ellarsteers

The typical amount of sleep per night for college students has a bell-shaped distribution with a mean of 7 hours and a standard deviation equal to 1.7 hours. Use the Empirical Rule to complete each sentence: About 68% of college students typically sleep between and hours per night. About 95% of college students typically sleep between and hours per night. About 99.7% of college students typically sleep between and hours per night.

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Answer from: davidsouth444

About 68% of college students typically sleep between 5.3 and 8.7 hours per night.

About 95% of college students typically sleep between 3.6 and 10.4 hours per night.

About 99.7% of college students typically sleep between 1.9 and 12.1 hours per night.

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

we have,

Mean = 7

Standard deviation = 1.7

$7+1\times1.7=8.7$

$7-1\times1.7=5.3$

About 68% of college students typically sleep between 5.3 and 8.7 hours per night.

$7+2\times1.7=10.4$

$7-2\times1.7=3.6$

About 95% of college students typically sleep between 3.6 and 10.4 hours per night.

$7+3\times1.7=12.1$

$7-3\times1.7=1.9$

About 99.7% of college students typically sleep between 1.9 and 12.1 hours per night.

For more details on empirical rule follow below link:

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Answer from: StephenCurry34

About 68% of college students typically sleep between 5.3 and 8.7 hours per night.

About 95% of college students typically sleep between 3.6 and 10.4 hours per night.

About 99.7% of college students typically sleep between 1.9 and 12.1 hours per night.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7

Standard deviation = 1.7

7 + 1*1.7 = 8.7

7 - 1*1.7 = 5.3

About 68% of college students typically sleep between 5.3 and 8.7 hours per night.

7 + 2*1.7 = 10.4

7 - 2*1.7 = 3.6

About 95% of college students typically sleep between 3.6 and 10.4 hours per night.

7 + 3*1.7 = 12.1

7 - 3*1.7 = 1.9

About 99.7% of college students typically sleep between 1.9 and 12.1 hours per night.

Answer from: Quest

Cis your correct answer

Answer from: Quest

The answer is 16.64 feetyour welcome

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