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[AP Statistics] 7.3b Classwork/Homework

Last updated 5 months ago
29 questions
Most population distributions are not Normal. What do their sampling distributions look like?

http://onlinestatbook.com/stat_sim/sampling_dist/index.html

For reference, from 7.3a:
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A bank in a small town has to stock its single automated teller machine (ATM) with cash at the beginning of each day. Based on thousands of transactions in the past year, they know that the average amount of money requested by a customer is $87.00 with a standard deviation of $52.00. The distribution of money requested is strongly skewed to the right. The bank estimates that there will be 50 customer requests for cash from the ATM each day. The bank is trying to decide how much total cash should be stocked in the machine at the beginning of each day.

Explain what the problem means when it says "The distribution of money requested is strongly skewed to the right." within the context of this problem

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x̄ is the average amount of money requested at the ATM by 50 random customers,

Is the sampling distribution of x̄ normally distributed?

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How do you know?

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Calculate the probability that a random sample of 50 customer requests for cash would require a total of $5000 or more (an average request of $100 per customer).

Round to the nearest Hundredth

If we are comparing two separate populations by subtracting their means, the process is similar.


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Is the sampling distribution for \bar{x_M}-\bar{x_F} normally distributed?

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How do you know?

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Find the mean of the sampling distribution of \bar{x_M}-\bar{x_F}

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What condition do we need to check before calculating Standard Deviation? Is the condition met?

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Calculate the standard deviation of \bar{x_M}-\bar{x_F}

Round to the nearest Hundredth

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Interpret the standard deviation of \bar{x_M}-\bar{x_F}

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Round to the nearest hundredth

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Is the sampling distribution of \bar{x} for SRSs of size n=5 from Davis' iPod normally distributed?

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Explain.

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Is the sampling distribution of \bar{x} for SRSs of size n=100 from Davis' iPod normally distributed?

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Explain.

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How do you know that the sampling distribution for 1000 policies is normally distributed?

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Round to the nearest Hundredth

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Which one is more likely?

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Why?

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Round to the nearest Thousandth

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Round to the nearest Hundredth

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1

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Calculate the standard deviation of the sampling distribution
Round to the nearest Hundredth

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Round to the nearest Hundredth

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1

Explain

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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.