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To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack 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 α = .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 α = .05, showing all steps clearly.
How closely is the height of an individual related to the weight? Partial regression output for a sample of 92 individuals is below.
Perform a hypothesis test by using.04 level of significance to find out if there is a difference between the population means.
Compute an F-statistic for each linear construct and determine its significance. Also, state what questions each of these contrasts address.
The results of the simple linear regression are provided below.
The Price-to-Earnings ratio (P/E) of a publicly listed profit-making company is defined as the ratio of the stock price of the company to the earnings per share.
By using this data and incorporating seasonal effects, predict quarterly turnover for 2010.
Five test vehicles of each kind were crashed, with results given below. Research question: Are mean crash damages the same for these 3 vehicles?
Based on surveys conducted in 1989 and 1999, a researcher compared the proportion of high school age females interested in a career in science in 1989 with the proportion in 1999. He concluded that the proportions were not significantly different ..
At.05 significance level, can we conclude that larger proportion of the agents think the economy is expanding this month?
State the values of the coefficient of correlation and coefficient of determination correct to three decimal places
What is the null and alternative hypothesis? What is your final conclusion?
Using the EMV criteria (you wish to maximize expected profits in this case) determine what course of action that Optel should take. Make sure to state the best strategy in words.
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