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A researcher reports that average salary of assistant professors is more than $42000. A sample of 30 assistant professors has a mean salary o $43,260. At a probability of type 1 error of 0.05, test the claim that the assistant professors earn more than $42000 per year. the standard deviation of the population is $5230.
Clearly identify the independent and dependent variables you would study. Determine whether a one-tail or two-tail test is most appropriate and explain why. Generate a testable null statistical hypothesis and an alternative statistical hypothesis.
Supposing that both tests measure the same kind of ability, who has the higher score? If grading were done on a curve, what would their respective percentages be?
Demand for a popular athletic shoe is nearly constant at 800 pairs per week for a regional division of a national retailer. The cost per pair is $54.
Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. A random one-tenth of the calls are long distance.
What is the probability of getting a number less than 5 on both?
Two percent of the parts from a production process are defective. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
You read that statistical test at α=0.01 level has probability 0.14 of making a Type II error when specific alternative is true. Calculate the power of test against this alternative?
With a Rejection Region of 8, 9 or 10, what is the probability of a Type II error, if the job applicant has a probability of identifying the odd sample with p = 0.5?
Describe a 5-step hypothesis test for two variances for a particular claim related to your work or life environment. You need to state the claim, define the null and alternate hypothesis, identify the test significance and the test statistic, and ..
Create a histogram over five class intervals.
What score was earned by more students than any other score? Why? What was the highest score earned on the exam?
Do the data indicate a significant difference between the frequency distributions for male and females? Test at the .05 level of significance and describe the difference.
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