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1. A government survey conducted to estimate the mean price of houses in a metropolitan area is designed to have a margin of error of $10,000. Pilot studies suggest that the population standard deviation is $70,000. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.
2. You are interested in finding out if a student's ACT score is a good predictor of their final college grade point average (GPA). You have obtained the following data and are going to conduct a regression analysis. Follow instructions on page 324 of your textbook under line of best fit to conduct this analysis?
ACT GPA
22.0 3.0
32.0 3.78
33.0 3.68
21.0 2.94
27.0 3.38
25.0 3.21
30.0 3.65
a) What is the R? What type of relationship does it indicate (strong/weak; positive/negative)?
b) Go to the coefficients readout. The constant is the intercept. Under that is the ACT and that is the slope. Using the straight line formula of Y = mx + b, predict some future GPA scores: In the formula (m) is the slope; (x) is the variable that you are looking to use as a predictor; and (b) is the intercept. Predict GPA from the following ACT scores using the regression equation/straight line formula (show all your work):
1) 20
2) 25
3) 34
About 40% of the general population donate time and energy to community projects. Suppose 15 people have been randomly selected from a community and each asked whether he or she donates time and energy to community projects.
Also use the regression model to predict a student's average if he/she misses 4 classes.
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Would you be willing to provide an example of both methods (step by step) described in your document for determining the forecast based upon the two different methods. Maybe just for one single city.
Students will conduct one brief research exercise that will be written up as a research report using APA style.
A fair coin is flipped 3 times. Compute the odds of flipping 3 tails.
Assume your statistics professor reports test grades as z-scores, and you got a score of 2.20 on the midterm exam. Write down a sentence explaining what that means.
A particular medical operation proves fatal in 1% of the cases. Find an approximation to the probability that there will be at least 2 fatalities in 200 operations.
Formulate the hypotheses that can be used to determine whether union membership increased in 2006.
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