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A statistician was testing the following hypotheses:
Ho: μ = 500 vs. Ha: μ ≠ 500.
The p-value approach was to be used. A sample of size 49 gave a sample mean of 508. Given that σ = 30.2, and α = 0.01, find the p-value, and write your conclusion.
Identify at least three methods of statistical inference. Describe in detail each method and how you could use this method in your discipline. You may not use the same tests indicated in your research proposal.
What is the underlying variable that indirectly correlates these 2 variables? What other variables could you identify as having an indirect relationship?
What is the difference between calculating a confidence interval on the mean vs calculating the confidence interval on a proportion?
Let N be number of heads obtained on the ten flips. Determine: If you win $1 each time a head appears and you lose $1 each time a tail appears, is this fair game? Describe.
If a single test is run and indicates that oil is present, what is the revised probability that oil is actually present?
If the answer cannot be calculated, enter zero (0) as your answer. Round to 4 decimal places otherwise. YES, you need, therefore, to look at the 5th decimal place.
Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming, what is the (approximate) probability that X is: At most 30.
The standard deviation in the 12-month earnings per share for 10 companies in the airline industry was 4.27 and the standard deviation in the 12-month earnings per share for 7 companies in the automotive industry was 2.27
A teacher claims that the variance on a calculus test is 68. A sample of 28 students had a standard deviation of 5.8. Test the teacher's claim at the 0.05 level of significance.
A researcher administers a treatment to a sample of n = 25 participants and uses a hypothesis test to evaluate the effect of the treatment.
Nielsen publishes a weekly ranking of television programs as well as a weekly ranking of four major networks: ABC, CBS, NBC, and Fox. What kinds of decision or actions are based on the Nielsen rankings?
Show the sampling distribution of the mean amount of Medicare spending for a sample of fifty 2003 enrollees. What is the probability the sample mean will be within, plus or minus, $300 of the population mean?
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