GCU MAT274 Discussions Latest 2021 March (Full)

MAT274 Probability and Statistics

Week 1 Discussion

DQ1 The mean and median are both measures of central tendency, each appropriate with different types of data. When would each be appropriate and why?

DQ2 Name three variables from your field of study that are considered continuous and three that are discrete. Are all of them quantitative?

MAT274 Probability and Statistics

Week 2 Discussion

DQ1 Roll a single die 50 times and record the results. Now use that data set to compute the mean, median, mode, variance, and standard deviation of the set.

DQ2 Consider a standard deck of cards (52 with each of four suits – club, diamond, heart, spade) and drawing two cards. What is the probability of two hearts with replacement? Without replacement?

MAT274 Probability and Statistics

Week 3 Discussion

DQ1 In what cases would you use the binomial distribution? Give two examples of what would be considered a binomial probability.

DQ2 In your own words, explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.

MAT274 Probability and Statistics

Week 4 Discussion

DQ 1 What is the relationship between confidence intervals and levels of significance?

DQ2 Calculate the 95% confidence interval for the mean in Topic 2 DQ 1.

MAT274 Probability and Statistics

Week 5 Discussion

DQ1 Explain the difference between statistical significance and practical significance.

DQ2 Use the sample from Topic 2 DQ 1 and test that the population mean for rolling a single die is 3.5.

MAT274 Probability and Statistics

Week 6 Discussion

DQ1 How do you determine whether or not the paired t test is appropriate for a two-sample hypothesis?

DQ2 When is it appropriate to use a pooled sample test?

MAT274 Probability and Statistics

Week 7 Discussion

DQ1 How are the slope and intercept of a simple linear regression line calculated? What do they tell us about the relationship between the two variables?

DQ2 Explain the Chi – Square test and when it is appropriate.