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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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