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[AP Statistics] 7.2b Classwork/Homework

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Last updated 11 months ago
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

In 2016, more than 200,000 students took the AP®Statistics exam. Of these students, 14% earned the highest score of 5. You want to find the probability that a random sample of 300 students who took the 2016 AP®Statistics exam would beat that number by having 15% or higher scored a 5.

Step 1: Does this meet the 10% condition? Explain how you know

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2.

Step 2: Does this meet the large counts condition? Explain how you know

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3.

Step 3: Find the probability that a random sample of 300 students who took the 2016 AP®Statistics exam would indicate that 15% or higher scored a 5.

Answer rounded to the nearest hundredth

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4.

How do you know?

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5.

Answer rounded to the nearest tenth

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6.

What condition needs to be met in order to calculate the standard deviation of the sampling distribution? Do we meet this condition?

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7.

Calculate the standard deviation of the sampling distribution.

Answer rounded to the nearest thousandth

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8.

Interpret the standard deviation of the sampling distribution

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9.

Answer rounded to the nearest hundredth

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10.

What is the Mean of the sampling distribution of p̂

Answer rounded to the nearest hundredth

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11.

What condition needs to be verified before we can calculate the Standard Deviation of the sampling distribution of p̂? Verify that the condition is met.

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12.

Find the standard deviation of the sampling distribution of p̂

Answer rounded to the nearest thousandth

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13.

What condition needs to be verified before we know that the sampling distribution of p̂ is normally distributed? Verify that the condition is met.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Answer rounded to the nearest thousandth

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15.

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16.

Explain why or why not.

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17.

Answer rounded to the nearest thousandth

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18.

Answer rounded to the nearest thousandth

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19.

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20.

Explain your reasoning.

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21.

Verify the 10% condition is met. Why is this important?

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22.

Verify the Large Counts condition is met. Why is this important?

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Find the mean of the sampling distribution of p̂c-p̂a

Round the nearest Hundredth

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Find the standard Deviation of the sampling distribution of p̂c-p̂a

Round the nearest Thousandth

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25.

Round the nearest Thousandth

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26.

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27.

Explain your reasoning.

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28.

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.