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If you were to read the results of a study showing that daily use of a certain exercise machine resulted in an average 10-pound weight loss, what more would you want to know about the numbers in addition to the average, before trusting the results? (Hint: Do you think everyone who used the machine lost 10 pounds?)
An auto manufacturer advertises that "90 percent of the cars we have ever made are still on the road." Assuming this is literally true, how can it be explained? What facts and/or statistics would you need to know to expose this misleading claim?
"The larger the sample, the more reliable the results." Do you agree or disagree with this statement? Explain.
The weight of the first orange minus the weight of the second orange) is a random variable with standard deviation and individual outcomes are uncertain but happen in a predictable manner through time.
What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 (to 4 decimals)?
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
What does analysis of variance mean? One of the students answers this question as follows:
If there are 81 fraternity members, how much should they buy so that using the normal approximation they are 93.32% sure they will not run out?
A certain police officer stops cars for speeding. The number of red sports cars she stops in one hour is a Poisson process with rate 4, while the number of other cars she stops is a Poisson process with rate 1.
Determine the probability that a randomly selected teacher earns more than $525 per week?
At the 5% significance level, if the sample proportion is .45, and the standard error of the sample proportion is .035, the appropriate conclusion would be:
Sprinkler Systems. A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135 degrees F.
What sample size would be needed to obtain an error of +/- 10 square millimeters with 99% confidence?
Monte Carlo sampling makes the assumption that all parameters of an alternative are: A. Independent B. Dependent C. Equal to 1.0 D. Probability distribution
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