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Question 1:
As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution? When a researcher draws a sample from a normal distribution, what can one conclude about the sample distribution? Explain.
Question 2:
A mayoral election race is tightly contested. In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor. Based on this sample, what is the initial hunch? Would one claim with 95% confidence that the mayor will win a majority of the votes? Explain.
A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36. Compute the probability the sample mean is (Round z values to 2 decimal places and final answers to 4 decimal places):
Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes.
If the probability that it will rain tomorrow is 0.33, then what is the probability that it will not rain tomorrow?
Why do we need a new test method to compare the means of 3 or more populations? Why can't we just use a series of z-tests or t-tests to compare all of the possible pairs of population means to see if one (or more) is different?
Payne (2001) gave participants a computerized task in which they first see a face and then a picture of either a gun or a tool. The task was to press one button if it was a tool and a different one if it was a gun.
Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at Miami University is different from the national norm of 0.46.
If the population mean was $1047 in the previous year, does the evidence suggest that expenditure this year has significantly changed?
Privacy Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and Internet are reducing privacy. A survey conducted by Peter D.
Do the data indicate that the lengths of one supplier's 2x4's are subject to more variability than those of the other supplier? Assume α = 0.05. (HINT: F Test for Differences in Two Variances)
Utilizing Excel data analysis calculate t distribution also deduce the result. Study of variance is used to investigate if there is a difference in the mean mileage of the three cars.
A letter is drawn 1,000 times, at random, from the word A R AB I A. There are two offers. (A) You win a dollar if the number of A's among the draws is10 or more above the expected number. (B) You win a dollar if the number of B's among the drawsis 10..
What happens to the confidence interval and the power of the test at a particular point of interest. As one increases the sample size of a test, all else remaining the same.
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