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Sleep Mean As part of the National Health and Nutrition Examination Survey, subjects were asked how long they slept the preceding night, and the following times (hours) were reported: 8, 7, 5, 7, 4, 7, 6, 7, 8, 8, 8, 6. Find the mean.

Short Answer

Expert verified

The mean duration is 6.8 hours.

Step by step solution

01

Given information

The sleep times (in hours) reported by 12 subjects for the preceding day are 8, 7, 5, 7, 4, 7, 6, 7, 8, 8, 8, 6.

02

Compute the mean

When the number of observations is n and the values are represented by x, the mean value is computed using the formula x¯=xn.

In this case, the value of n is 12 and xtakes the values of observations.

Substitute the values to compute themean.

x¯=8+7+5+...+612=8112=6.75

Thus, the mean value is 6.8 hours.

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USA Today published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S. drivers? Why or why not?

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