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A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84.
a) Find the regression equation for predicting GPA from SAT scores.
b) What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r, then find r².)
c) Does the regression equation account for a significant portion of the variance in GPA? Use ∝ = .05 to evaluate the F - ratio.
As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
Determine x-bar and s for this data set. You may suppose the values for bulb life are normally distributed. Use traditional method to make your decision.
Results were analyzed using one -way ANOVA and included SSTR =7 , 102 and SSE = 10 ,511. Are all 8 tapes equally appealing on average? Determine p value?
According to the National Football League, the average salary for players for the 2010 season was about $1.9 million while the median salary is around $770,000. Why are both numbers reported? What might the difference between the two statistics me..
What is the distribution of X? State its mean and variance.
A researcher selects a random example of college students and measures number of hours they spend watching television per week and their grade point average.
A market researcher is interested in knowing the type of training that works best for DVD users. Thirty consumers are randomly selected from a population of known DVD owners (i.e., users).
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is:
Explain the relationship between sample size and the likelihood of a statistically significant difference between the measured values of two groups.
Solution throughout graphical method. Produced by a company linear programming model is used to describe the production schedule.
the population mean of monthly wages of all college graduates under age of 30. Interpret your answer in the context of the problem.
A student with a 3.5 to 4 grade point average who took standardized test is randomly selected. Determine the probability that students test score is less than 36.
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