Plastic Microfiber Pollution from Clothes Plastic microparticles are contaminating the world's shorelines, and much of this pollution appears to come from fibers from washing polyester clothes.1 The worst offender appears to be fleece, and a recent study found that the mean number of polyester fibers discharged into wastewater from washing fleece was 290 fibers per liter of wastewater, with a standard deviation of 87.6 and a sample size of 120. Browne, M., et. al., "Accumulation of Microplastic on Shorelines Worldwide: Sources and Sinks," Environmental Science and Technology 2011; 45: 9175-9179. Data are approximated from information given. (a) Find a 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece. Round your answers to one decimal place. The 99% confidence interval is i to i (b) What is the margin of error?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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(c) If we want a margin of error of only +4 with 99% confidence, what sample size is needed?
Round your answer up to the nearest integer.
sample size
Transcribed Image Text:(c) If we want a margin of error of only +4 with 99% confidence, what sample size is needed? Round your answer up to the nearest integer. sample size
Plastic Microfiber Pollution from Clothes
Plastic microparticles are contaminating the world's shorelines, and much of this pollution appears to come from fibers from washing
polyester clothes.1 The worst offender appears to be fleece, and a recent study found that the mean number of polyester fibers
discharged into wastewater from washing fleece was 290 fibers per liter of wastewater, with a standard deviation of 87.6 and a
sample size of 120.
"Browne, M., et. al., "Accumulation of Microplastic on Shorelines Worldwide: Sources and Sinks," Environmental Science and Technology
2011; 45: 9175-9179. Data are approximated from information given.
(a) Find a 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece.
Round your answers to one decimal place.
The 99% confidence interval is i
to i
(b) What is the margin of error?
Round your answer to one decimal place.
margin of error =
i
Transcribed Image Text:Plastic Microfiber Pollution from Clothes Plastic microparticles are contaminating the world's shorelines, and much of this pollution appears to come from fibers from washing polyester clothes.1 The worst offender appears to be fleece, and a recent study found that the mean number of polyester fibers discharged into wastewater from washing fleece was 290 fibers per liter of wastewater, with a standard deviation of 87.6 and a sample size of 120. "Browne, M., et. al., "Accumulation of Microplastic on Shorelines Worldwide: Sources and Sinks," Environmental Science and Technology 2011; 45: 9175-9179. Data are approximated from information given. (a) Find a 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece. Round your answers to one decimal place. The 99% confidence interval is i to i (b) What is the margin of error? Round your answer to one decimal place. margin of error = i
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