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ECON-2900-A-Econ. & Business Statistics
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Given the following information, calculate β0 for a simple regression based on 12 observations. and
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A professor randomly picks four students and asks them to complete two ten-question quizzes: one before a tutorial and one after it. The number of correctly answered questions is given below.
| | Before tutorial | After tutorial |
| Jill | 5 | 8 |
| John | 9 | 10 |
| Jane | 6 | 7 |
| Jack | 4 | 6 |
Assuming both populations are normally distributed, the value of the test statistic for the difference in correctly answered questions before and after the tutorial is...
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Consider the following point estimators of μ: W = (x1 + x2)/2 and X = (2x1 + x2)/3. The relative efficiency of W with respect to X is...
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The lower limit of a 95 percent confidence interval for the population proportion given n = 100 and is...
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A random sample of eight observations from a normal population has sample variance of 7.12. What is the 95 percent confidence interval for the population variance?
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If a sample of size 200 has 40 successes, the lower limit of a confidence interval at the 95 percent level of confidence for the population proportion is...
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Assume that we have independent random samples of size nx and ny observations from normal populations with means μx and μy and unequal variances. The sample variances, and , are used and the means are and . Which of the following formulae is used to calculate the degrees of freedom, v, for the t statistic where the variances are unknown and assumed unequal?
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A manufacturer of bags of cement claims that it fills each bag with at least 50.2 pounds of cement. Assume that the standard deviation of the amount in each bag is 1.2 pounds. The decision rule is to shut down if the sample mean weight for a sample of 40 bags is below 49.8. Suppose that the true mean weight is 50 pounds. Using this decision rule, the probability of a type II error is given by...
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The width of a confidence interval for a population proportion is...
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If a sample has 20 observations and a 90 percent confidence estimate for μ is needed, the appropriate t-score is...
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