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Final exam review sheet for Math3339 minimester 2025
Typology: Study Guides, Projects, Research
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Age Chocolate Vanilla Strawberry
Over 40 15 8 7
20 – 40 20 11 15
Under 20 8 7 9
X
P( X)
4k
5k
8k
3k
Find the probability that P( X < 2.0)
Outcome 1 2 3 4 5 6 Probability .1 .2 .3 .3 0.
a. Calculate the line of best fit that predicts the GPA on the basis of IT scores. b. Calculate the line of best fit that predicts the GPA on the basis of RR scores. c. Which of the two lines calculated in parts a and b best fits the data?
has the value t = -2.25. What is the p-value for this test?
Student 1 2 3 4 5 6 7 8 9 10 Before 475 512 492 465 523 560 610 477 501 420 After 500 540 512 530 533 603 691 512 489 458
Part of the resulting ANOVA table is
Source SS DF MS Treatments 38.820 3 12. Error 21.292 16 1.
a. Complete the ANOVA table. b. Perform a significance test to see if at least two of the are different. Use Tukey’s method to determine which pairs differ significantly.
Remedial Non-remedial
Sample size 100 40
Test, at the 5% level, whether the remediation helped the students to be more successful.
Group 1 6.9 5.4 5.8 4.6 4.0 26.70 5. Group 2 8.3 6.8 7.8 9.2 6.5 38.60 7. Group 3 8.0 10.5 8.1 6.9 9.3 42.80 8. Group 4 5.8 3.8 6.1 5.6 6.2 27.50 5.
All Groups 135.60 6.
Method 1 Method 2
Sample mean 85 83
Sample s.d. 3 2
Test whether method 1 was more successful than method 2 at the 1% level.
Student 1 2 3 4 5 6 7 8 9 10
Math 475 512 492 465 523 560 610 477 501 420
Verbal 500 540 512 530 533 603 691 512 489 458
a. Calculate the least-squares regression line for this data. Report r and r-squared. b. Compute the 90% confidence interval. Interpret this confidence interval by describing for me in words what it means in the context of this problem. c. Is there a significant linear relationship between the variables? State the hypotheses, t-statistic, p-value, and conclusion.
Predictor Coef StDev T p s = 11. Constant 12.960 6.228 2.08 0.045 R-sq = 62.0% ProbSolv 4.0162 0.5393 7.45 0.000 R-sq (adj) = 60.9%
a. What is the regression equation? b. Interpret the slope of the regression in the context of the problem. c. Interpret the value of R-Sq in words. d. Calculate the 95% confidence interval of the slope of the regression line for all students. e. Use the information provided to test whether there is a significant relationship between the problem solving subsection and the total score at the 5% level.