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2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees of Freedom Calculate your own df-44 3. Reconsider the town of Sylva's recycling program. Re-test the hypothesis assuming that the population standard deviations are different.

2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees of Freedom Calculate your own df-44 3. Reconsider the town of Sylva's recycling program. Re-test the hypothesis assuming that the population standard deviations are different.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees of Freedom Calculate your own df-44 3. Reconsider the town of Sylva's recycling program. Re-test the hypothesis assuming that the population standard deviations are different.
Transcribed Image Text:2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees of Freedom Calculate your own df-44 3. Reconsider the town of Sylva's recycling program. Re-test the hypothesis assuming that the population standard deviations are different.
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