z-Scores and Area under the Curve The National Sleep Foundation recommends that adults between 18−6418-64 years of age sleep between 77 and 99 hours per night. A researcher collected data on the...

z-Scores and Area under the Curve

The National Sleep Foundation recommends that adults between 18−6418-64 years of age sleep between 77 and 99 hours per night. A researcher collected data on the amount of sleep that students in college slept per night. The data were approximately normally distributed with the following mean and standard deviation

mean = 6.86.8 hours
standard deviation = 1.81.8 hours

Use this information and the online normal distribution calculator to answer the questions below. Round your percents to two decimal places.

Note: Use z-scores rounded to two decimal places and the standard normal distribution to avoid roundoff errors.

Normal Calculator

What percent of students slept between 77 hours and 88 hours? %

What percent of students slept less than 7.37.3 hours? %

What percent of students slept more than 9.39.3 hours? %

What percent of students slept less than 2.782.78 hours
or
more than 11.4811.48 hours ? %

Jun 07, 2022

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z-Scores and Area under the Curve The National Sleep Foundation recommends that adults between 18−6418-64 years of age sleep between 77 and 99 hours per night. A researcher collected data on the...

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