STA 210 Ch 6 HW

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5b

1/sqrt(n)

How far to the left of the center line can Mo move the center of his body and still be able to deny the pass to the lane?

6'

Suppose a college student is selected at random. Use the empirical rule to estimate how likely it is that this student studies between 17.5 and 20 hours per week.

About 13.5 chances in 100

Suppose a college student is selected at random. Use the empirical rule to estimate how likely it is that this student studies more than 20 hours per week.

About 2.5 chances in 100

1a

About 2.5 chances in 100, since 28.27/1152 = 0.0245

4b

About 68% of the time

Suppose a college student is selected at random. Use the empirical rule to estimate how likely it is that this student studies between 10 and 17.5 hours per week.

About 81.5 chances in 100

1b

Board A since there is a greater chance of the bag going in the hole.

Use the empirical rule to estimate how likely it is that an answer to this question will be above 4.20. What was the actual percentage of answers in this interval?

Estimated is 16% and actual is 9.9%

Use the empirical rule to estimate how likely it is that an answer to this question will be in the interval 2.10 to 4.20. What was the actual percentage of answers in this interval?

Estimated is 68% and actual is 61.33%

5a

It would be about 0.5[1/sqrt(n)] to the left.

1c

The area of the hole, divided by the area of the entire board.


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