Consider the average price of doughnuts from 200 bakeries in the United States. For the population of interest, a 95% confidence interval for the average price per doughnut is $1.70 plus or minus 0.45 cents.  For this example, match the numbers below to the correct statistical terms:

We have access to the complete dataset of all ages (in years) at death for First Ladies of the U.S. who have passed. From this data set we know that the average age at death is 71.7 years. You are interested in how the sample statistics vary for different samples of size n=15 from this population.   A sampling distribution is constructed where one of the samples is used to create a bootstrap distribution.    This sample has mean: x-bar = 78 years. Below are boxplots of the sample of size n = 15, the sampling distribution, and the bootstrap distribution (although not necessarily in that order!).  Use all of the provided information to select the correct reason for each Boxplot identification. Boxplot A is the sample of n = 15 because it centered at the where the sample standard deviation (s) is the value of the standard error found with the sampling distribution. Boxplot B is the sampling distribution because it is centered at the and has a standard error that is roughly equal to the estimated standard error found with the . Boxplot C is the bootstrap distribution because it is centered at the and has an estimated standard error that is roughly equal to the standard error found with the .

Note: If you have trouble seeing the images, use Ctrl  +  to zoom in and Ctrl – to zoom back out. Use the information in the screenshot to correctly complete the statements below: The correct calculation for the 95% confidence interval is ± .  Based on this bootstrap distribution… 20 a plausible value for the population mean score 33 a plausible value for the population mean score Each dot in the bootstrap distribution represents the of a bootstrap sample drawn replacement from the original . When considering the population mean: .

We are testing the hypotheses: Ho: 

Suppose researchers surveyed 52 expecting mothers at a “Future Mothers” class on their attitudes on the use of formula vs. breastfeeding. The survey results found that 20% of expecting mothers favored the use of formula over breastfeeding.  Using 5,000 Bootstrap samples, we calculate a 95% confidence interval to be 18.8% to 21.2% . Indicate what would happen to the width of the confidence interval if the changes below were made.  For each option, assume all other quantities are held constant.

Graph the function.f(x) = log5(x) + 1

Graph the function.f(x) = 3(x – 4)

Sample Test 2 Macro Sample Test 2.pdf

Test 2 Power Points PBA Macro Unit 2 PP PDF.pdf

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