MATH302 Questions and Answers | Latest Update | Graded A+

MATH302 Questions and Answers | Latest Update | Graded A+ **Which of the following describes the degrees of freedom for a test of independence?** - It is equal to the sample size minus one. **An experiment with k = 4 and n = 100 yields an F Statistic of 4.72. At α = 0.01, should the null hypothesis be rejected?** - Yes **Students evaluate their class experience on a 1-4 scale. Mr. Goodman wants to know if his evaluations differ significantly from the History Department's. He finds 11 1's, 14 2's, 47 3's, and 53 4's in his sample. At α = 0.05, can he claim a significant difference?** - Hypotheses: H0: There is no difference in evaluations. H1: There is a difference in evaluations. Test statistic (rounded to 4 decimal places): 1.9196 P-value (rounded to 4 decimal places): 0.5893 Can it be concluded that there is a statistically significant difference in evaluations? No **A college professor investigates if seating location in a lecture hall affects grades. They observe the top 25% of grades across the classroom sections. Run a Goodness of Fit test to determine if seat location influences grades. Use α = 0.05.** - Expected counts: All expected to be 10! After conducting the test, does seat location impact final grades? No **If a chi-square distribution has 25 degrees of freedom, what are the population mean and standard deviation?** - Mean = 25 Standard deviation = 7.0711 **A local gym surveys members to determine if exercise equipment preference depends on gym usage frequency. Conduct an independence test at α = 0.10.** - Hypotheses: Preference in exercise equipment is independent of gym usage. Preference in exercise equipment depends on gym usage. Test statistic (rounded to 4 decimal places): 25.4831 P-value (rounded to 4 decimal places): 0.0003 Can it be concluded that preference in exercise equipment depends on gym usage? Yes **An independence test is run to determine if the type of medal won depends on the country in the 2018 Winter Olympics. Use α = 0.10.** - Hypotheses: Medal won is independent of country. Medal won depends on country. Test statistic (rounded to 4 decimal places): 1.5783 P-value (rounded to 4 decimal places): 0.9541 Can it be concluded that medal won depends on country? No **In an experiment with k = 3 and n = 50, the F Statistic is 3.67. At α = 0.05, should the null hypothesis be rejected?** - Yes **Which of the following values are possible F Statistics?** - Positive numbers! 5.41, 1.72 **A department store manager investigates changes in sales distribution across departments. Test if the current sales distribution differs from historical data using α = 0.10.** - Hypotheses: H0: There is no difference in sales distribution.