MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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For each of the following problems, prepare a complete 5-step hypothesis test. Show your work. Include an ANOVA Table. You may do some, none, or all of this in Excel - whatever works best for you. Just be sure your entire answer for each problem is all together and neatly organized. Round all results to 2 decimal places. 1. 2. Paper towel advertisements brag on how strong their paper towels are when they are wet. We want to test to see if the leading 4 brands of paper towels have equal average strength. So, we took a section of a paper towel, anchored the edges, and poured 1/4 cup of water in the middle. Then, we slowly added one ounce weights until the paper towel broke. We repeated that several times for the 4 different brands of paper towels. The table below shows the resulting number of ounces required to break the wet paper towels. We tested 6 sheets from each of the four brands. The sample mean and sample variance for each sample is given in the table. Perform a complete 5-step hypothesis test to determine if all of the brands have equal strength. Be sure to include an ANOVA Table. Use a level of significance of 5%. Wet Paper Towel Strength Data Sample Mean - X Sample Variance - ² Overall Mean - x = 11.2 Brand A Brand B Brand C Brand D 12 9 14 10 9 8 10 9 12 11 12 9 # Seconds Improvement Sample Size - n Sample Mean - X Sample Variance - s² Overall Mean - x = 22 11.5 3.1 9.3 1.1 R-PED 13 20 13.2 14 12 16 9 13 14 13.0 5.6 14 12 10 I have been experimenting with sports drinks and have developed two different products - Rupert's Performance Enhancing Drink (R-PED) and Rupert's Super Performance Extra Enhancing Drink (R-SPEED). I randomly selected 3 sets of 13 athletes each (39 total). I measured the time it took each of them to run a mile under competitive conditions. Group 1 drank only R-PED for the next month, Group 2 drank only R-SPEED, and Group 3 drank only water. All of them did their normal workouts during the month. At the end of the month, I measured the time it took each of them to run a mile under competitive conditions and calculated the improvement over their beginning times. The table below shows how many seconds faster they ran at the end of the month on average. Perform a hypothesis test at a level of 5% to determine if the average improvement is the same for each group. Include an ANOVA Table. Should I try to market and sell my drinks? R-SPEED 13 22 15.7 9 11 10 11.0 3.2 Water 13 24 8.9
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Transcribed Image Text:For each of the following problems, prepare a complete 5-step hypothesis test. Show your work. Include an ANOVA Table. You may do some, none, or all of this in Excel - whatever works best for you. Just be sure your entire answer for each problem is all together and neatly organized. Round all results to 2 decimal places. 1. 2. Paper towel advertisements brag on how strong their paper towels are when they are wet. We want to test to see if the leading 4 brands of paper towels have equal average strength. So, we took a section of a paper towel, anchored the edges, and poured 1/4 cup of water in the middle. Then, we slowly added one ounce weights until the paper towel broke. We repeated that several times for the 4 different brands of paper towels. The table below shows the resulting number of ounces required to break the wet paper towels. We tested 6 sheets from each of the four brands. The sample mean and sample variance for each sample is given in the table. Perform a complete 5-step hypothesis test to determine if all of the brands have equal strength. Be sure to include an ANOVA Table. Use a level of significance of 5%. Wet Paper Towel Strength Data Sample Mean - X Sample Variance - ² Overall Mean - x = 11.2 Brand A Brand B Brand C Brand D 12 9 14 10 9 8 10 9 12 11 12 9 # Seconds Improvement Sample Size - n Sample Mean - X Sample Variance - s² Overall Mean - x = 22 11.5 3.1 9.3 1.1 R-PED 13 20 13.2 14 12 16 9 13 14 13.0 5.6 14 12 10 I have been experimenting with sports drinks and have developed two different products - Rupert's Performance Enhancing Drink (R-PED) and Rupert's Super Performance Extra Enhancing Drink (R-SPEED). I randomly selected 3 sets of 13 athletes each (39 total). I measured the time it took each of them to run a mile under competitive conditions. Group 1 drank only R-PED for the next month, Group 2 drank only R-SPEED, and Group 3 drank only water. All of them did their normal workouts during the month. At the end of the month, I measured the time it took each of them to run a mile under competitive conditions and calculated the improvement over their beginning times. The table below shows how many seconds faster they ran at the end of the month on average. Perform a hypothesis test at a level of 5% to determine if the average improvement is the same for each group. Include an ANOVA Table. Should I try to market and sell my drinks? R-SPEED 13 22 15.7 9 11 10 11.0 3.2 Water 13 24 8.9
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