Question 1

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-Describe the (approximate) sampling distribution of $\hat{p}$. Be sure to refer to shape, center, and variability.

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Question 2

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-Provide a well-labeled sketch to illustrate this sampling distribution.

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Question 3

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-Check the conditions for whether the normal approximation (CLT) is reasonable to apply in this case.

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Question 4

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-Determine the (approximate) probability that less than $10 \%$ of the sample would be in the College of Business.

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Question 5

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-With a larger sample size, would the probability in #4 be larger, smaller, or the same? Explain your answer.

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Question 6

Reconsider the activities involving the sampling of Reese's Pieces candies. Continue to suppose that $45 \%$ of all Reese's Pieces are orange.
-Is . 45 a parameter or a statistic? What symbol would you use to represent it?

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Question 7

Reconsider the activities involving the sampling of Reese's Pieces candies. Continue to suppose that $45 \%$ of all Reese's Pieces are orange.
-Does sampling variability refer to a statistic, a parameter, or both?

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Question 8

Reconsider the activities involving the sampling of Reese's Pieces candies. Continue to suppose that $45 \%$ of all Reese's Pieces are orange.
-Are you more likely to get between $35 \%$ and $55 \%$ orange candies if you take a random sample of 40 candies or a random sample of 400 candies? Explain briefly.

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Question 9

Reconsider the activities involving the sampling of Reese's Pieces candies. Continue to suppose that $45 \%$ of all Reese's Pieces are orange.
-Are you more likely to get more than $60 \%$ orange candies if you take a random sample of 40 candies or a random sample of 400 candies? Explain briefly.
Now suppose that 20 people each take a random sample of 40 candies, calculate the sample proportion of orange candies, and create a dotplot of their results.

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Question 10

Reconsider the activities involving the sampling of Reese's Pieces candies. Continue to suppose that $45 \%$ of all Reese's Pieces are orange.
-Identify the observational units and variable of this dotplot.

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Question 11

Suppose that a phone company reports that the average duration of a cell phone call is 1.7 minutes, with a standard deviation of 1.4 minutes.
-Would it be reasonable to use a normal distribution to model the duration of cell phone calls? Explain, based primarily on the values reported above.

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