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An r of +.60 was obtained between IQ (X) and number correct on a word-recognition test (Y) in a large sample of adults. For each of the following, indicate whether or not r would be affected, and if so, how (treat each modification as independent of the others):
(a) Y is changed to number of words incorrect.
(b) Each value of IQ is divided by 10.
(c) Ten points are added to each value of Y.
(d) You randomly add a point to some IQs and subtract a point from others.
(e) Ten points are added to each Y score and each value of X is divided by 10.
(f) Word-recognition scores are converted to z scores.
(g) Only the scores of adults whose IQs exceed 120 are used in calculating r.
The data in the accompanying table were obtained from the Model Year 2009 Fuel Economy Guide for new automobiles.- Identify the experimental units.- State whether each of the variables measured is quantitative or qualitative.
You have to determine that your cutoff value at level a = 0.05 is 1.645 when testing whether the mean of a population is significantly different from 1.5. If you calculate a test statistic of 1.8 what is the proper conclusion?
A family is picked at random from among the families with four children. Then a child is picked at random from the selected family.
Suppose that a population is known to be normally distributed with µ = 2,000 and s = 230. If a random sample of size n = 8 is selected.
Approximate y(1) using Euler's method and step sizes of 0.2. Perform these calculations by hand. What is the exact value of y(1)?
A university administrator wishes to estimate the difference in mean grade point averages among all men affiliated with fraternities and all unaffiliated men.
If the microbrewery seeks a 95% confidence level and a precision of .5 beers, what size sample should be used in the study? Show the calculation; otherwise, the answer will not be accepted.
How much time should be allowed if we wish to ensure that at least 9 out of 10 students (on average) can complete it? (round to the nearest minute).
Abnormalities. In the 1980s it was generally believed that congenital abnormalities affected about 5% of the nation's children.
A Gallup Poll used telephone interviews to collect data on consumer spending on different days of the week.25 Here are the averages
Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates.
Graph these data to see whether a linear equation might describe the relationship between the group's television shows and guitar sales and use the least-squares regression method to derive a forecasting equation.
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