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A fellow researcher fits a simple linear regression model Yi = α + βXi + ui by least squares, but has doubts that the first least squares assumption E(ui |Xi) = 0 is correct for her data set. She decides to test for this assumption by calculating the residuals from her regression ûi = Yi - Yi and then performing the usual t-test of the null hypothesis that their (population) mean is zero, assuming the errors are normally distributed. Evaluate her strategy.
Determine the mean and standard deviation of this distribution?
Determine the centerline and the upper and lower control limits for a 3-sigma mean control chart in which each sample consists of 4 cylinders
A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be .86. At the .05 significance level
A sample of 49 pieces of cloth reveals a sample mean breaking strength of 69.1 pounds. State the null and alternative hypotheses.
A certain state lottery awards 418 prizes; 28-$200 prizes, 120-$25 prizes and 270-$20 prizes, for every 10,000 tickets sold.
Develop a scatter diagram for the data and write a brief summary.
Developing the histogram and pie chart for the sample data.
Hypothesis test for the difference between two means - To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized.
Do the data from this sample provide evidence for a significant increase in REM activity during exams? Use a one-tailed test with _ = .01. B.) Compute Cohen's d to estimate the size of the effect.
Assuming that all other variables are held constant, explain how the value of z influenced by each of the following:
Find the Probability and inverse probability for the given Normal distribution.
Computing probability values using normal distribution - How many students earned between $20,000 and $40,000
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