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To test the hypothesis that students who finish an exam first get better grades, Professor Barker kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at ? = .05? (a) State the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances. Interpret these results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at ? = .05, showing all steps clearly.
How variable is the number of service calls with which Sam's department must deal?
The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution, with a mean of 70 seconds and a standard deviation of 15 seconds.
Construct the 95% confidence interval estimate of the mean number of migraine attacks for those treated with acupuncture.
Why are you no longer directly comparing sample means? How does using the F test - the analysis of variance (ANOVA) reduce your Type I error rate? What is the difference between a within-groups and a between-groups variance?
We often hear you can lie with statistics. This is one way of saying statistics can be easily mis-communicated. Find one example of how statistics are mis-communicated and explain why there was a mis-communication and what you would do to correct ..
An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce.
The American Automobile Association checks the prices of gasoline before many holiday weekends.
Explain the logic of the ordinary least Square (OLS) method? How are the least squares formulas for the slope and intercept derived?
Determine the probability that the project will be completed in 90 days or less.
Suppose you want to know if a new design of a product is actually better than the current product. For example, your design team is working on increasing the speed of the KX Speed Drill
What is your conclusion regarding null hypothesis?
Difference in the mean number of times men and women order take-out dinners in a month? What is the p-value?
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