Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Date from DAL..AL This exercises deals with the helghts (in inches) of singers. The graph and Excel Anova output are given below. Height pinches be Sopran A-Tenor Bass Anova: Single Factor SUMMARY Count Sum 2313 Average 64.25 Groups Soprano Alto Variance 3.5071 36 2271 7.8101 20 1383 64.885714 69.15 70.717949 10.3447 Tenor 39 2758 5.5762 dy MS ANOVA Source of Variation Between Groups Within Groups 55 1058 5289 796.74029 F P-value Ferit 352.84298 55 300134 5.1.23 2.67652 6.3233357 126 Total 1855 269 Question 9 3 pts SINGERS Fill in the blanks. Subjects (just one word): Observations (just one word) Factor: Type of singer Number of Levels a number: Question 10 8 pts SINGERS For the following questions, just enter a number in each blank. How many bass singers were observed? What was the total height of the tenor singers? What was the average height of the alto singers (to one decimal place)? What was the variance of the soprano singers' heights (to one decimal place)? What was the standard deviation of the bass singers' heights (to one decimal place)? How many singers altogether were observed? The output contains two estimates of the common population variance. Which of the two estimates is expected to be stable (to one decimal place)? Which of the two estimates is expected to change as the population means change (to one decimal place? D Question 11 1 pts SINGERS The null hypothesis for the One-way Anova F-test would be Ho : The average heights of the different types of singers are all the same. Ho: The average height of at least one type of singer is very different from the average heights of the other types of singer Ho: Height does not influence type of singer. O Ho : Height influences type of singer. Question 12 1 pts SINGERS The alternative hypothesis for the One-way Anova F-test would be o Ha: The average heights of the different types of singers are all the same, o Ha: The average height of at least one type of singer is very different from the average heights of the other types of singer Ha: Height influences type of singer. Ha: Height does not influence type of singer 7 pts D Question 13 SINGERS This question is about Step 4 of the six-step One-way Anova F-test procedure that was taught in this class. Fill in the blanks appropriately. 6) The are categorized by only, so we will now check the sample variances (it) Largest sample variance (to one decimal place) Smallest sample variance (to one decimal place): Ratio of largest to smallest (to one decimal place) The ratio of the largest to the smallest sample variance is less-than-or-equal-to-four so it is safe to assume that the population variances are approx equal G) We assume that the samples of are independent SRSs and we assume that the population distributions of are approx Normal 1 pts D Question 14 SINGERS Which of the following is the correct P-value picture for the One-way Anova F-test? ONE-WAY ANOVA SINGERS VALUE PICS 55.8 2.7 D 2.7 55.8 55.8 OE SINGERS + This question is about the first part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class Choose the correct option. * I don't want to give away what Ho is, that's why I didn't write it out. o If Ho", then due to sampling variation alone, at most 55.8 percent of all possible values of the F-statistic would be expected to be zero or more O IT Ho", then due to sampling variation alone, at most 5.1 percent of all possible values of the F-statistic would be expected to be 55.8 or more O I Ho', then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 2.7 or more. If Ho. then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 55.8 or more. Question 16 1 pts SINGERS This question is about the second part of Step 6 of the six-step One-way Anova Fetest procedure that was taught in this class Choose the correct option I don't want to give away what Hals that's why I didn't write it out This percentage is not very low so we cannot condude that to This tow percentage suces that Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Det from Daten This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output are given below. 75 Heights (inches) 70 65 GDDDDD Goa 10 55 Soprano Alto Tenor Bass Anova: Single Factor SUMMARY Count Sum Average Variance Groups Soprano Alto 36 2313 64.25 3.5071 35 2272 64.885714 7.8101 Tenor 20 1383 69.15 10.3447 Bass 39 2758 70.717949 5.5762 55 or Crit ANOVA Source of Variation Between Groups Within Groups 1058 5289 3 IMS P-value 3521842985520124 123 63238357 2.67652 796.74029 126 Total 1855.2692 329 Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Date from DAL..AL This exercises deals with the helghts (in inches) of singers. The graph and Excel Anova output are given below. Height pinches be Sopran A-Tenor Bass Anova: Single Factor SUMMARY Count Sum 2313 Average 64.25 Groups Soprano Alto Variance 3.5071 36 2271 7.8101 20 1383 64.885714 69.15 70.717949 10.3447 Tenor 39 2758 5.5762 dy MS ANOVA Source of Variation Between Groups Within Groups 55 1058 5289 796.74029 F P-value Ferit 352.84298 55 300134 5.1.23 2.67652 6.3233357 126 Total 1855 269 Question 9 3 pts SINGERS Fill in the blanks. Subjects (just one word): Observations (just one word) Factor: Type of singer Number of Levels a number: Question 10 8 pts SINGERS For the following questions, just enter a number in each blank. How many bass singers were observed? What was the total height of the tenor singers? What was the average height of the alto singers (to one decimal place)? What was the variance of the soprano singers' heights (to one decimal place)? What was the standard deviation of the bass singers' heights (to one decimal place)? How many singers altogether were observed? The output contains two estimates of the common population variance. Which of the two estimates is expected to be stable (to one decimal place)? Which of the two estimates is expected to change as the population means change (to one decimal place? D Question 11 1 pts SINGERS The null hypothesis for the One-way Anova F-test would be Ho : The average heights of the different types of singers are all the same. Ho: The average height of at least one type of singer is very different from the average heights of the other types of singer Ho: Height does not influence type of singer. O Ho : Height influences type of singer. Question 12 1 pts SINGERS The alternative hypothesis for the One-way Anova F-test would be o Ha: The average heights of the different types of singers are all the same, o Ha: The average height of at least one type of singer is very different from the average heights of the other types of singer Ha: Height influences type of singer. Ha: Height does not influence type of singer 7 pts D Question 13 SINGERS This question is about Step 4 of the six-step One-way Anova F-test procedure that was taught in this class. Fill in the blanks appropriately. 6) The are categorized by only, so we will now check the sample variances (it) Largest sample variance (to one decimal place) Smallest sample variance (to one decimal place): Ratio of largest to smallest (to one decimal place) The ratio of the largest to the smallest sample variance is less-than-or-equal-to-four so it is safe to assume that the population variances are approx equal G) We assume that the samples of are independent SRSs and we assume that the population distributions of are approx Normal 1 pts D Question 14 SINGERS Which of the following is the correct P-value picture for the One-way Anova F-test? ONE-WAY ANOVA SINGERS VALUE PICS 55.8 2.7 D 2.7 55.8 55.8 OE SINGERS + This question is about the first part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class Choose the correct option. * I don't want to give away what Ho is, that's why I didn't write it out. o If Ho", then due to sampling variation alone, at most 55.8 percent of all possible values of the F-statistic would be expected to be zero or more O IT Ho", then due to sampling variation alone, at most 5.1 percent of all possible values of the F-statistic would be expected to be 55.8 or more O I Ho', then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 2.7 or more. If Ho. then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 55.8 or more. Question 16 1 pts SINGERS This question is about the second part of Step 6 of the six-step One-way Anova Fetest procedure that was taught in this class Choose the correct option I don't want to give away what Hals that's why I didn't write it out This percentage is not very low so we cannot condude that to This tow percentage suces that Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Det from Daten This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output are given below. 75 Heights (inches) 70 65 GDDDDD Goa 10 55 Soprano Alto Tenor Bass Anova: Single Factor SUMMARY Count Sum Average Variance Groups Soprano Alto 36 2313 64.25 3.5071 35 2272 64.885714 7.8101 Tenor 20 1383 69.15 10.3447 Bass 39 2758 70.717949 5.5762 55 or Crit ANOVA Source of Variation Between Groups Within Groups 1058 5289 3 IMS P-value 3521842985520124 123 63238357 2.67652 796.74029 126 Total 1855.2692 329
