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Stats 250 W12 Sunday Mar 25 Exam 2 Review Questions-1

If the null hypothesis is true there is just one

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Unformatted text preview: a: p1 ≠ p2 a. If the null hypothesis is true, there is just one common population proportion. Give an estimate of that common population proportion. Show all your work. Final answer: ____________________________ b. The resulting test statistic value is ‐2.49. Provide the corresponding p‐value. Show all work. p‐value: ____________________________ c. What is the appropriate conclusion at the 5% level? d. What type of error could the researcher have made? Clearly circle one. Type I Error Type II Error Cannot be determined 3. How old is your Professor? – Consider the population of all full professors at a very large university. The mean age for this population is 48 years and the standard deviation is 5 years. A random sample of 100 full professors will be taken and the sample mean age will be computed. a. Give the mean and standard deviation for the distribution of the sample mean age based on a random sample of 100 full professors. Include the units. Mean : ___________________ Standard deviation: ______________________ b. What is the approximate probability that the sample mean age will differ from the true population mean age by more than 1 year? Show your work. Final answer: ______________________ c. What is the name of the result that allows you to answer part (b), even though you were not told whether the population of ages followed a normal distribution? Result Name: ___________________________________________________________ 2 | P a g e 4. Step Forward – The Acculturation Rating Scale (ARS) measures the extent to which Mexican Americans have adapted to our culture with scores ranging from 0 to 50, higher scores imply better ability to adapt. During the summer of 2010, twenty Mexican American children (aged 10‐14) who have been in the U.S. for only a few ye...
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