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Testing for population mean.
You conduct a survey of a sample of 25 members of this year's graduating students and find that the average GPA is 3.2. The standard deviation of the sample is 0.4. Over the last 10 years, the average GPA has been 3.0. Is the GPA of this year's students significantly different from the long-run average? At what alpha level would it be significant? How would this information be useful to you if you were the college register?
Explain the difference between testing a single mean, testing the difference between two means from an "independent sample" and testing mean differences from a "dependent sample".
Deriving the regression equation, testing the model fit and obtains confidence interval for estimated values.
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
Peter, Paul, Mary, John and Martha are members of the pastoral council at a localchurch. They are to be seated at one side of a long conference table in a pastoral councilmeeting.
Political prisoners Mathew, Mark, and Luke are told that two of the three are to be executed. Matthew takes the jailer aside and says, "We both know that at least one of the others, Mark or Luke, will be executed
A woman has n keys, of which one will open her door. (a) if she tries the keys at random, discarding those that do not work, what is the probability that she will open the door one her kth try?
Is there enough evidence to reject the claim that the average cost of a home in both locations is the same? Use α = 0.01. Clearly mark each of the five steps in hypothesis testing.
What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls but fewer than 15 calls?
A sample of 25 MBA students taking OTM course in the Spring of 2013 shows an average income of $85,000 with the sample standard deviation of $5,000. Find the 95% confidence interval of the population mean income of MBA students.
The first requires 60 sq. inches of material and the second requires 100 square inches. The company has 1,000 sq. feet of material. what is the model?
Listed below is the rate of return for one year. Using the .05 significance level is it reasonable to conclude that the mean rate of return is more than 4.50%?
An office manager wishes to estimate the mean time required to handle customer complaints. A sample of 38 complaints shows a mean time of 28.7 minutes with a standard deviation of 12 minutes.
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