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The Acculturation Rating Scale for Mexican Americans (ARSMA) is a test that measures the extent to which Mexican Americans have adopted Anglo/English culture. A similar test, the Bicultural Inventory (BI), attempts to do the same thing. To compare the tests, researchers administer both tests to 22 Mexican-Americans. Both tests have the same range of scores (1.00 to 5.00) and are scaled to have similar means for the groups used to develop them. There was a high correlation between the two scores, giving evidence that both are measuring the same characteristics. The researchers wanted to know whether the population mean scores for the two tests were the same. The differences in scores (ARSMA - BI) for the 22 subjects had x = 0.2519 and s = 0.2767.
(a) Describe briefly how the administration of the two tests to the subjects should be conducted, including randomization.(b) Carry out a significance test for the hypothesis that the two tests have the same population mean. Give the P-value and state your conclusions.(c) Give a 95% confidence interval for the difference between the two population mean scores.
What is an example of a normal distribution? please articulate what the example is (post the graph, picture of the graph, etc); discuss what the normal distribution means for this example, and how the graph is being used to articulate the problem.
Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the claim?
Complementation to describe each of the following events in terms of A1, A2, and A3, draw a Venn diagram, and shade the region.
The passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade?
The lapping process, which is used to grind certain silicon wafers to the proper thickness, is acceptable only if 'sigma', the population standard deviation of the thickness of dice cut from the wafers, is at most 0.50 mil.
In order to determine the effect of secondhand smoke, the state agency needs to measure the nicotine level at the work site. It is not possible to measure the nicotine level for every company that reports to the agency.
Determine if you would reject or fail to reject the null hypothesis in each of the following cases: (a) z=1.06 (b) z=2.06 (c) A z score beyond which 7% of the data fall in each tail.
For each set of data, calculate mean, median, mode, range, interquartile range, standard deviation, and coefficient of variation.
A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on risk of cardiovascular disease.
For a standard normal distribution, findout the percentage of data that are among 3 standard deviation below the mean also1 standard deviation above the mean.
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift.
Let x be the random variable that denotes the net amount a playr wins by playing this lottery. Write the probablity distribution of x. Determine the mean and standard deviation of x. How will you interpret the values of the mean and standard devia..
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