(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 ClothesPlastic microparticles are contaminating the world's shorelines, and much of this pollution appears to come from fibers from washingpolyester clothes.1 The worst offender appears to be fleece, and a recent study found that the mean number of polyester fibersdischarged into wastewater from washing fleece was 290 fibers per liter of wastewater, with a standard deviation of 87.6 and asample size of 120."Browne, M., et. al., "Accumulation of Microplastic on Shorelines Worldwide: Sources and Sinks," Environmental Science and Technology2011; 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 ito i(b) What is the margin of error?Round your answer to one decimal place.margin of error =i

Answered: Plastic Microfiber Pollution from…

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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WIN uses a high-technology manufacturing process to produce golf balls with a mean driving distance of 294 yards. WIN’s quality control program involves taking periodic samples of 50 golf balls to monitor the manufacturing process. The quality control team selected alpha = .05 as the level of significance for the test to determine that the mean driving distance is 294 yards. The assumed population standard deviation is 10.
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for as needed.) Ho: H₁: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the…
Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is μ = $. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o =$. (Type an integer or a decimal. Do not round.) b. Determine the sampling distribution of the sample mean for samples of size 256.
o.mheducation.com/ext/map/index.htm Help Save & Exi Saved ework: Chapter 8 (Sections 8.1 through 8.5) Checl The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation o = 000652 mm. Assume a random sample of 52 sheets of metal resulted in an z = 3373 mm. Calculate the 95 percent confidence interval for the true mean metal thickness. (Round your answers to 4 decimal places.) to The 95% confidence interval is from es Prev 5.of 10 Next Next 46°F Rain showe ere to search
A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69
Dr. Graham is interested in determining if middle-aged adults use text messaging more or less frequently than the general population. Dr. Graham collects information on text messaging from a random sample of 50 adults ages 25 to 44. Dr. Graham finds that these individuals send or receive an average of 68 text messages per day. Using the population mean (and standard deviation) of 41.5 texts per day (34 texts per day), determine whether adults in this age group use text messaging more than the general public.
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in the United States is 4.6 days (Healthcare Cost and Utilization Project Statistical Brief, December 2018). A random sample of 22 hospitals in one state had a mean LOS of 3.6 days and a standard deviation of 2.1 days. Assume that the sampled population is approximately normal. Complete parts a through c. Question content area bottom Part 1 a. Use a 99% confidence interval to estimate the population mean LOS for the state's hospitals. enter your response here, enter your response here (Round to three decimal places as needed.)
The void volume within a textile fabric affects comfort, flammability, and insulation properties. Permeability of a fabric refers to the accessibility of void space to the flow of a gas or liquid. An article gave summary information on air permeability (cm3/cm2/sec) for a number of different fabric types. Consider the following data on two different types of plain-weave fabric: Fabric Type Sample Size Sample Mean Sample Standard Deviation Cotton 10 51.41 0.75 Triacetate 10 132.15 3.59 Assuming that the porosity distributions for both types of fabric are normal, let's calculate a confidence interval for the difference between true average porosity for the cotton fabric and that for the acetate fabric, using a 95% confidence level. Before the appropriate t critical value can be selected, df must be determined: df = 0.5625 10 + 12.8881 10 2 (0.5625/10)2 9 + (12.8881/10)2 9 = 1.8092 0.1849…
Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 21 μg/g. Assume that the sample is a simple random sample. 19.5 21 7.5 19 14 20 10 12 21.5 16.5
Federal officials have investigated the problems associated with disposal of hazardous wastes. One disposal site is the abandoned Stringfellow acid pits in Riverside County, Calif. The EPA sampled water from 12 wells in nearby Glen Avon. The EPA standard for maximum allowable radiation level of drinking water is 13.35 pCi/L. Suppose that the sample of 12 water specimens resulted in a sample mean radiation level of 18.97 pCi/L and a sample standard deviation 6.12. Is this sufficient evidence to indicate that the water in Glen Avon has a mean radiation level that exceeds the EPA standard?. Use t test. (a = 0.05) Ho = 13.35 versus Η μ > 13.35 Let μ denote the true mean radiation level for well water in Glen Avon O Reject Null Hypothesis O Failed to Reject Null Hypothesis

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