### Environmental Protection Agency Standards AnalysisThe Environmental Protection Agency (EPA) mandates that the concentration of lead in drinking water must be below 15 parts per billion (ppb). A study involving twelve water samples from a specific source resulted in the following lead concentrations, measured in ppb:- **Sample Concentrations**: - 11.4, 13.9, 11.2, 14.5, 15.2, 8.1 - 12.4, 8.6, 10.5, 17.1, 9.8, 15.9 ### Hypothesis TestingA hypothesis test will be conducted to ascertain if the water from this source complies with the EPA standard. The process involves the following steps:#### a. Null and Alternate Hypotheses- **Null Hypothesis (H₀)**: The mean lead concentration in the water is 15 ppb or higher.- **Alternate Hypothesis (H₁)**: The mean lead concentration in the water is less than 15 ppb.#### b. P-value Computation- Calculate the P-value to determine the probability of observing the sampled data, assuming that the null hypothesis is true.#### c. Conclusion- Based on the P-value, assess whether there is sufficient evidence to conclude that the water meets the EPA standard. Provide a detailed explanation of the decision-making process. This testing is critical to ensure compliance with safety standards and protect public health.

From the provided information, Sample size (n) = 12 The EPA standard require that the amount of lead…

Answered: Environmental Protection Agency…

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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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 18 μg/g. Assume that the sample is a simple random sample. 12.5 11 10.5 21 11.5 17.5 8 12 8 18.5
Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. 9.5 9 17 2.5 9.5 13 13 13 22.5 13 nts ED OC. Ho: p= 15 µg/g OD. Hop=15 µg/g H₁: μ< 15 µg/g H₁ μ#15 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.). State the final conclusion that addresses the original claim. 15 µg/g. Ho. There is evidence to conclude that the mean lead concentration for all such medicines is Time Remaining: 01:24:16 Next Privacy Policy | Permissions | Contact Us I Terms of Use S ENG O US ess Less Library esources ptions 5 pis Copyright © 2022 Pearson Education Inc. All rights reserved ▬▬ see sc see sc see sco see sco
Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.
Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 µg/g. Assume that the sample is a simple random sample. 19 7.5 3 14 8 15 6 22.5 22.5 21.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Ο Α. Η0: μ= 18 μαg Ο Β. Η μ= 18 μgg H1: µ> 18 µg/g H: µ# 18 µg/g OC. Ho: H= 18 µg/g Ο D. Ho: μ> 18 μgg H,: µ< 18 µg/g H,: µ< 18 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the mean lead concentration for all such medicines is 18 μgg. Reject Fail to reject
Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 ug/g. Assume that the sample is a simple random sample. 20.5 12.5 12.5 4.5 4.5 19 18 18.5 16 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho p> 16 pg/g H p 16 ug/g %3D O C. Ho p= 16 pg/g H p#16 pg/g D. Ho =16 pg/g H1:p<16 ug/g Determine the test statistic. - 1.42 (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
е. Sample region 6. Question: In a hypothesis test, what does the values of T(0) signify? a. Smallest level of significance for rejection of Null Hypothesis. b. Largest level of significance for rejection of Null Hypothesis. c. Smallest level of significance for acceptance of Null Hypothesis d. Largest level of significance for acceptance of Null Hypothesis 3
Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 μg/g. Assume that the sample is a simple random sample. 13 15.5 3.5 8.5 17 18.5 8.5 19 9.5 20
3. Exercise 15.38. Cooking vegetables in different pots. Let's first concentrate on the 12 observations for the vegetable dish. Does the vegetable dish vary in iron content when cooked in aluminum, clay, and iron pots? Pot Rep Dish Aluminum 1 Aluminum 2 Aluminum 3 Aluminum 4 1 Clay Clay Clay Clay Iron Iron Iron Iron 3 4 Iron content vegetable 1.03 vegetable 1.53 vegetable 1.07 vegetable 1.30 vegetable 1.55 vegetable 0.79 vegetable 1.68 vegetable 3.52 vegetable 2.45 vegetable 2.99 vegetable 2.80 vegetable 2.92 (a) Check the conditions for one-way ANOVA. Which requirements are a bit dubious in this setting? (b) Instead of using ANOVA, using a nonparametric method. Summarize your conclusions about the effect of pot material on the iron content of the vegetable dish.
4. Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 ug/g. Assume that the sample is a simple random sample. 21 14 20.5 4. 11.5 18.5 13.5 13 7 9.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? CA. H μ= 18 μglg H,p18 ug/g O C. Ho: H>18 ug/g H,: u<18 ug/g Ο D. H9 μ= 18 μgg H,: p#18 ug/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (1) Ho. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3) 18 ug/g. (1) O Reject O Fail to reject O sufficient O not sufficient (2) (3) O not O greater than O less than O equal to a le
The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). s? = 57.3 s2 = 20.6 Population A: n= 13 Population B: n= 21 a. At the 0.05 level of significance, is there evidence of a difference between of and o3? Determine the hypotheses. Choose the correct answer below. O A. Ho of = 03 O B. Ho, o7 so? O D. Ho; o7 +o3 OC. Họ; o7 203 H,: of o?? What is your statistical decision? The upper-tail critical value of F is (Round to two decimal places as needed.) What is your statistical decision? V Ho. There is V evidence that o? >o3.
4.4. PLEASE PROVIDE HANDWRITTEN SOLUTIONS.
2) Now read the following data into R. Use R for all statistical procedures. Use R studio for the test.Sample Sample A B0.7969 1.4731 1.2669 3.2137 1.5856 2.2486 0.4959 1.1156 0.5022 10.6207 0.5524 1.983510.3060 31.2243 0.6244 3.7984 1.9789 1.4710 1.6788 9.0351(a) Make q-q plots of both samples. (b) Perform a t-test (Welch's test). (c) Perform a MWU test. (d) Which test gave you the better p-value now? Why? (e) What is a “better” p-value? Why? (f) This is two sided - why?

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