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The Central Limit Theorem is important because it enables us to calculate probabilities about sample means. Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of grandparents as primary caregivers (-hat) is to be calculated. What is the mean of the sampling distribution of -hat?
Many newspapers carry a certain puzzle in which the individual must unscramble letters to form words. How many ways can the letters of YARNLE be arranged?
Is the GPA of this year's students significantly different from the long-run average? At what alpha level would it be significant?
In random samples of 25 from each of two normal populations, we found the following statistics: Estimate the difference between the two populations means with 95% confidence.
Find out the value of correlation coefficient. Make a regression model to predict winning percentage utilizing all of the data.
The sample average is $97, and the SD is $17. Assume that the repair cost has a normal curve. What is the null hypothesis?
The sums of squares were computed as SSW = 4773.3 and SSA = 591.2. Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb.
The average burglary rate for a particular jurisdiction has been 311 per year with a standard deviation of 50. What is the likelihood that the number of burglaries in the next year is between 250 and 300?
At significance level of 0.02, is this sample evidence consistent with a hypothesis that 10% or fewer of all dollar bills have anything written on them besides the normal printing?
Explain why the polls that are so frequently quoted during early returns on Election Day TV coverage are an example of cluster sampling.
The cholesterol concentration in the yolks of each of a sample of 22 randomly selected eggs laid by free range chickens were found to have a mean value of 9.38 mg/g of yolk and a standard deviation of 1.62 mg/g.
Given that the test has a mean of 1000 and a standard deviation of 200 what is the lowest possible score needed for acceptance?
What score was earned by more students than any other score? Why? What was the highest score earned on the exam?
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