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Published byMadison Booth Modified over 6 years ago
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Problem 1 Suppose 40% of registered voters in a certain town are Democrats. You take a simple random sample of 80 voters. If your survey avoids biases, you expect __________ Democrats, give or take ____________ or so, in your sample. What is the probability that your sample actually predicts a Republican victory?
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Problem 2 A student doing a survey at a large university found that her random sample of 160 students reported an average GPA of 3.5 with a standard deviation of The registrar’s office published the average GPA to be Can the difference be explained by sampling variability? If not, how else can it be explained?
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Problem 3 A simple random sample of size n =70 has a mean of 87 and a sample SD of 0.5. Find a 98% confidence interval for the population mean. How important is it that we don’t know the shape of the population?
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Problem 4 The Motor Vehicle Department plans to estimate the proportion of drivers who have not received any tickets for moving violations during the past three years. How large a sample of its records should it take to be within 0.02 of the true proportion with 99% confidence?
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Problem 5 Consider the following matched-pair data set. Assume normality of the parent populations. Find a 95% confidence interval for the difference in means. x: y:
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Problem 6 To determine the effectiveness of a certain vitamin supplement, the weight increase for two groups of mice was measured: Control group: Treatment group: Test at the 5% level of significance whether the vitamins treatment results in a higher weight gain.
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