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The following sample data were obtained from three populations where the variances were not equal, and you wish to compare the populations.
Sample 1 Sample 2 Sample 3
21 15 38
29 17 40
35 22 44
45 27 51
56 31 53
71
a. State the null hypothesis.
b. Using the .01 level of risk, state the decision rule.
c. Compute the value of the test statistic.
d. What is your decision on the null hypothesis?
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
Let X1, ..., Xn be a random sample from a two-parameter exponential distribution, Xi ~ EXP (theta, eta). (a) Assuming it is known that eta = 150, find a pivotal quantity for the parameter theta based on the sufficient statistic.
What role do z-scores play in this transformation of data from multiple distributions to the standard normal distribution? What is the relationship between z-scores and percentages?
Assume that probanility that dimond will be stolen is .005, and let x denote insurance company's profit. Compute insurance company's expected profit.
Find a 95% confidence interval for the population mean concentration of uric acid in this patients blood. What is the margin of error?
Assume that a 95% confidence interval for the mean is 14.5
Determine the test criteria that would be used to test Ho: u 1.0 with n=18 and significance level of 0.01 using the classical approach.
Among 620 adults selected randomly from among the residents of one town, 18.9% said that they favor stronger gun-control laws.
Is the annual average wage of unmarried people (18 - 30) the same as that of married people (31 - 43)?
The data is shown on the table. Is there a difference in mean SBP between treatments? Run the appropriate test at α= 0.05
Can the researcher conclude that humidity has a significant effect on eating behavior? Use a two-tail test with α = .05.
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