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The following sample observations were randomly selected.
X: 4 5 3 6 10Y: 4 6 5 7 7
a. Determine the standard error of estimate.
b. Suppose a large sample is selected (instead of just five). About 68 percent of the predictions would be between what two values?
Determine the probability of receiving at most three calls in a five-minute interval of time. Determine the probability of receiving exactly 10 calls in 15 minutes.
A confidence interval for the population mean tells us which values of mean are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence.
What fraction of the calls last between 4.2 and 5 minutes?
A random group of students was selected from a large student conference to analyze their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at alpha = .05?
Show the decision rule graphically. Use the .05 significance level.
Carefully define a standard normal distribution. Why does a researcher want to go from a normal distribution to a standard normal distribution? Explain.
Either summarize your design or give an appropriate layout with table.
A random sample of five accidents resulted in the following number of persons injured: 18, 15, 12, 19, & 21. Using the .01 significance level, can we conclude the population mean is less than 20 for all accidents?
Determine whether the given value is a statistic or a parameter. A researcher determines that 42.7% of all downtown office buildings have ventilation problems. Is this a statistic or a parameter; explain your answer.
Recall that the trash bag manufacturer has concluded that its new 30 gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds.
How would you use the "margin of error" in estimating the percentage of all adults who think that Venetian blinds are the hardest to clean?
With any statistical model, we assess the fit: Does the model accurately depict the truth? Explain how one of the following helps assess the "fitness" of the mean.
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