caps lockhift TtabONfnPart 3 of 3(c) How large would the sample need to be so that a 98% confidence interval would have a margin of error of 0.03?The sample size would need to beHesc16Skip Part→11Type here to search"72QANCheckTH1o *@2WS#3XaltED$1014CXRBI1 200%F5V5TG6&YBhp7HU8JNSave For Late-© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use55°Fto 144(19|||KMOLPaltG Contaminated water: Polychlorinated biphenyls (PCBS) are a group of synthetic oil-like chemicals that were at one time widely used as insulation inelectrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s. Assume that water samplesare being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 80 has a sample mean of 1.90 parts perbillion (ppb). Assume the population standard deviation is o = 0.26 ppb.Part 1 of 3▬▬esc(a) Construct a 98% confidence interval for the PCB concentration. Use tables or technology. Round your answers to at least two decimal places.The confidence interval is1.83 1.97Part 2 of 3Skip PartCheckType here to search122#*314$4DEt%56&74+Save For Later© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center55°F89hoSubmit.► 11d13/

Given information- Population standard deviation, σ = 0.26 ppb Let, Confidence interval = 0.98…

Answered: Contaminated water: Polychlorinated…

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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Composites are materials that are made by embedding a fiber, such as glass or carbon, inside a matrix, such as a metal or a ceramic. Composites are used in engineering structures, and their degradation when subjected to whether conditions is an important issue. In an experiment to investigate the effect of the moisture on a certain kind of composite, the weight gains of a collection of n=28 samples of composite subjected to water diffusion were obtained. The sample mean is x=0.42% with a sample std. of S=0.04% Can we 95% confident from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.43%?
The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x, be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8800 observations, the sample mean interval was x, = 64.0 minutes. Let x, be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 23,936 observations, the sample mean time interval was x, = 72.4 minutes. Historical data suggest that o, = 8.35 minutes and o, = 12.69 minutes. Let u, be the population mean of x, and let u, be the population mean of x2. (a) Compute a 95% confidence interval for u, - H3. (Use 2 decimal places.) lower limit upper limit (b) Comment on the meaning of the confidence interval in the context of this problem. Does the interval consist of positive numbers only? negative numbers only? a mix of positive and negative numbers?…
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.23. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.16. At a 0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. H2: o21.23 (Claim) Ha: o1.23 (b) Find the critical value(s) and identify the rejection region(s) The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. OA. The rejection region is x2 and x2> O B. The rejection regions are x < O C. The rejection region is x < (c) Find the standardized test statistic x (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context…
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the baa of colored çandies follows the distribution stated above at the a = 0.05 level of sianificance. YA. H,: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. O B. H,: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. - X O C. None of these. Observed distribution of colors Compute the expected counts for each color. Frequency Color Expected Count Colored Candies in a bag Color Frequency Claimed Proportion Brown 60 50.83 Brown Yellow Red Blue Orange Green 60 67 55 62 84 63 Yellow 67 54.74…
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.26. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.13. At a = 0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (c) Find the standardized test statistic y2. 20.63 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Fill in the correct answers below. V Ho. There venough evidence to at the 1% level of significance to reject the manufacturer's claim that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.26.
The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8860 observations, the sample mean interval was x1 = 61.4 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,170 observations, the sample mean time interval was x2 = 70.6 minutes. Historical data suggest that ?1 = 8.00 minutes and ?2 = 12.55 minutes. Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. (a) Compute a 90% confidence interval for ?1 – ?2. (Use 2 decimal places.)lower limit =upper limit=
a, b, d
Emissions of nitrogen oxides, which are major constituents of smog, can be modeled using a normal distribution. Let x denote the amount of this pollutant emitted by a randomly selected vehicle (in parts per billion). Suppose the distribution of x can be described by a normal distribution with μ = 1.5 and σ = 0.4. Suppose that the EPA wants to offer some sort of incentive to get the worst polluters off the road. What emission levels constitute the worst 10% of the vehicles? (Round your answer to three decimal places.) The worst 10% of vehicles are those with emission levels greater than ______ parts per billion. You may need to use the appropriate table in Appendix A to answer this question.
In the above plot, a rejection of the null hypothesis that the population regression slope is equal to 0 implies: a) the correlation coefficient in the population is likely equal to 0 b) the correlation coefficient in the population is likely unequal to 0 c) the standard deviation of height is likely very large d) the standard deviation of weightis likely very small e) the correlation coefficient must be close to 1.0 f) a and c g) b and e h) b, d and e
The US Geological Survey complied historical data about Old Faithful Geyser from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1949 to 1952. Based on 8840 observations, the sample mean interval was x1=65.0 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based in 24404 observations the sample mean time interval was x2=71.2 minutes. Historical data suggest that o1= 8.14 minutes and o2= 11.78 minutes. Let u1 be the population mean of x1 and let u2 be the population mean of x2. Compute a 95% confidence interval for u1-u2.(use 2 decimal places) lower limit=upper limit=
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a =0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.4 8.7 12.3 6.9 5.4 10.4 14.8 8.70 (a) Write the claim mathematically and identify H, and H. Which of the following correctly states H, and H ? O A. Ho: us11.0 O B. Ho: H#11.0 OC. Ho: H>11.0 Ha>11.0 Ha: u =11.0 Hai HS11.0 OD. Ho: H<11.0 O E. Ho:µ211.0 OF. Ho:H=11.0 Hgi µ#11.0 Ha: 211.0 Hai H<11.0 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) Click to select your answer(s). (? P Type here to search a 7:16 PM (? 4/25/2021 14 I01 10 f8 fo AA insert prt sc delete %24 4. %23 & 6. 8. 9- - backspace hom
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 23.1% and 17.2%, respectively. (Suppose the number of respondents from each state was 2000.) At α=0.05, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e).

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