(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

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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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A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,875 bus miles and a sample standard deviation of 275 bus miles. Complete parts (a) and (b) below. Question content area bottom Part 1 a. Is there evidence that the population mean bus miles is more than 3,800 bus miles? (Use a 0.05 level of significance.) State the null and alternative hypotheses. The critical value(s) for the test statistic is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.)
A company was concerned about the length of time a particular vitamin they produce retained its potency. Potency was measured for a random sample of 10 bottles that had just been produced and also for a random sample of 10 bottles after 1 year in storage. The resulting data was used to calculate the summary statistics below. Standard n Mean Deviation Newly produced 10 10.37 0.32 Stored for 1 year 10 9.83 0.24 Difference (New - Stored) 10 0.54 0.43
From a large population of tiger salamanders, Ambystoma tigrinum, a random sample of 81 were collected and their lengths recorded to the nearest centimeter. Calculate the mean, median, variance, and standard deviation for this sample. fi 10 11 8. 12 17 13 22 14 14 15 10 16 17 1 81
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.
Q. No. 5: At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told,“You can average $80 a day in tips.” Assume the population of daily tips is normally distributed with astandard deviation of $3.24. Over the first 35 days she was employed at the restaurant, the mean daily amountof her tips was $84.85. At the .01 significance level, can Ms. Brigden conclude that her daily tips averagemore than $80?
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"
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…
The fill amount in1-liter soft drink bottles is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. If bottles contain less than 96% of the listed net content (0.96 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.06 liters may cause excess spillage upon opening. a. What proportion of bottles contain between 0.96 and 1.0 liters?
A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.

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