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A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:
0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130
(a) Construct a 95 percent confidence interval for the true mean.
(b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is.
The following study was developed by Economist Simon Fass. Fass surveyed a sample population of low-income households in St. Martin. The variables analyzed were monthly income per adult and choice of rental contract for housing.
Define the Linear programming problem (LPP)
You took the standard deviation of 4.5 minutes from a commuting friend and believe that that is the standard deviation for the area. Prepare a 95% confidence interval for the true average commuting time.
If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample mean x-bar is approximately a:
The following data represent the service charge for direct-deposit customers if a customer's account falls below the minimum required $1,500 balance for a sample of 26 banks.
Some television stations attempt to gauge public opinions by posing a question on the air and asking viewers to call to give their opinions.
Is this a proper probability density function? How do you know? Find the mean, variance, and standard deviation of x, showing your work.
One of the non-destructive tests (NDTs) for assessment of the integrity of concrete structures is ultrasonic pulse velocity testing. The test can signal that a concrete section is either intact or that a problem exists.
What is a quantitative interpretation of the slope here? (Use appropriate units in your explanation.) Although some might be concerned about the intercept being negative (you can't, after all, have a negative power use), that is not a problem. Expl..
Suppose we want to conduct a poll to estimate the proportion of voters who approve of the current mayor, and we plan to use a 95% confidence interval for our estimate.
When finding percentiles, if locator L is not whole number, one procedure is to interpolate so that locator of 23.75, for instance.
Create Frequency Distribution of Sample Mean. Compute and Identifies Sampling Distribution of Sample Mean.
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