In Chapter 12 Quiz: Attempt review - Google Chrome X " moodle.mc.edu/mod/quiz/review.php?attempt=673539&cmid=891648 MCmoodle MC moodle.mc.edu says That functionality is currently disabled DAT251.B-Spring 2020/Full Term/26942 - Busi OK Started on Sunday, April 26, 2020, 7:56 PM Quiz navigation State Finished 1 2 Completed on Sunday, April 26, 2020, 8:35 PM 3 4 5 6 7 8 9 v Time taken 39 mins 31 secs 10 Grade 10.00 out of 10.00 (100%) Question 1 Show one page at a time Given the following ANOVA table for three treatments each with six observations: Correc Finish review 1.00 points out Source Sum of Squares df Mean square of 1.00 Treatment 1116 Flag question Error .068 Total 2184 What is the value of the F test statistic? Show your answer to two decimal places (for example, 5.43). Answer: 7.83 The computed value of F is the treatment mean square divided by the error mean square. To compute the mean squares, there are three treatments and a total of 18 observations, so k = 3 and n = 18. The treatment degrees of freedom are k - 1 = 3 - 1 = 2 and the error degrees of freedom are n - k = 18 - 3 = 15. So, the Mean Square Treatment is 558 and the Mean Square Error is 71.2. Therefore, the test statistic, F, is 558 divided by 71.2 or 7.84 The correct answer is: 7.84 Question 2 In a One-Way ANOVA, the total variation in the data across the factor levels can be partitioned into the within sample variation and the between sample variation. Correct 1.00 points out Select one: of 1.0 True v Flag question O False Search here O 9 G 7:46 PM 5/15/2020In Chapter 12 Quiz: Attempt review - Google Chrome X " moodle.mc.edu/mod/quiz/review.php?attempt=673539&cmid=891648 MCmoodle MC Question 2 In a One-Way ANOVA, the total variation in the data across the factor levels can be partitioned into the within sample variation and the between sample variation. Correct 1.00 points out Select one: of 1.00 True v Flag question O False See the section "Partitioning the Sum of Squares"in your textbook. The correct answer is 'True'. Question 3 In a One-Way ANOVA, if the Test Statistic is 0.99 and the F critical value is 3.89, we would not reject the null hypothesis. Correct 1.00 points out Select one: of 1.00 True Flag question O False In hypothesis testing, we reject Ho only if the Test Statistic exceeds the Critical Value. The correct answer is 'True'. Question 4 When using a One-Way Analysis of Variance, the sample sizes for each group must be equal. Correct 1.00 points out Select one: of 1.00 True Flag question False v See the section "The ANOVA Assumptions" in the textbook. The correct answer is 'False'. Search here O 9 G 7:46 PM 5/15/2020In Chapter 12 Quiz: Attempt review - Google Chrome X " moodle.mc.edu/mod/quiz/review.php?attempt=673539&cmid=891648 MCmoodle MC Question 5 Suppose we want to test for the equality of averages across four groups using a One-Way ANOVA. Correct Group 1 Group 2 Group 3 Group 4 1.00 points out 9 12 8 17 of 1.0 16 Flag question co 15 11 16 12 17 14 12 7 16 14 10 13 Averages 10.80 13.00 9.00 15.60 What is the Sum of Squares Between (SSB)? Show your answer to two decimal places (for example, 4.46). Answer: 121.8 See formula for SSB. The correct answer is: 121.8 Question 6 The alternative hypothesis used in ANOVA is Ha: All population means are equal. Correct 1.00 points out Select one: of 1.00 True Flag question False See the discussion of the hypotheses on p. 436. The correct answer is 'False'. Question 7 Correct A large department store examined a sample of 15 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard, Visa, and Discover. Five MasterCard sales, five Visa, and five Discover sales were recorded. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F-statistic? 1.00 points out of 1.00 Select one: Flag question O a. 2 in the numerator, 15 in the denominator Search here O e 9 G 7:46 PM 5/15/2020In Chapter 12 Quiz: Attempt review - Google Chrome X " moodle.mcedu/mod/quiz/review.php?attempt=673539&cmid=891648 MCmoodle MC Question 7 A large department store examined a sample of 15 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard, Visa, and Discover. Five MasterCard Correct sales, five Visa, and five Discover sales were recorded. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F-statistic? 1.00 points out of 1.00 Select one: Flag question O a. 2 in the numerator, 15 in the denominator O b. None of these are correct. c. 2 in the numerator, 12 in the denominator O d. 3 in the numerator, 12 in the denominator Your answer is correct. The correct answer is: 2 in the numerator, 12 in the denominator Question 8 Correct One characteristic of the F-distribution is that the computed F can only range between -1 and +1. 1.00 points out of 1.0 Flag question Select one: True False Clearly this is false just from looking at the F Table. The correct answer is 'False'. Question 9 Correct Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four 1.00 points out grades are regular, economy, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. The miles per gallon were recorded for of 1.00 each grade. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same? Flag question Kilometers per Liter Regular Economy Premium Super Premium 39.31 36.69 38.99 10.04 39.87 10.00 10.02 39.89 39.87 41.01 39.99 39.93 Search here O e 9 G 7:46 PM 5/15/2020In Chapter 12 Quiz: Attempt review - Google Chrome X "moodle.mc.edu/mod/quiz/review.php?attempt=673539&cmid=891648 MCmoodle MC The correct answer is 'False'. Question 9 Correct Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four 1.00 points out grades are regular, economy, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. The miles per gallon were recorded for of 1.00 each grade. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same? Flag question Kilometers per Liter Regular Economy Premium Super Premium 9.3 36.69 38.90 40.04 39.87 40.00 10.02 39.89 9.8 $1.01 39.99 9.9 Answer: 4.07 The numerator or treatment degrees of freedom are k - 1 = 4 - 1 = 3. The degrees of freedom in the denominator or error degrees of freedom are n - k = 12 - 4 = 8. Based on the "Critical values of the F-distribution at a 5% level of significance" table, the critical value of F is 4.07. The correct answer is: 4.07 Question 10 If an ANOVA test is conducted and the null hypothesis is rejected, then at least one pair of population means is different. Correct 1.00 points out Select one: of 1.0 True Flag question O False True since Ho: means are equal Ha: means are not equal The correct answer is 'True'. Search here O G 7:46 PM 5/15/2020