Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.41 parts per million and thestandard deviation is 2.11 parts per million. At x = 0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.(a) Identify the claim and state Ho and H₂. Which of the following correctly states Ho and Ha?Ho:Ha:(Type integers or decimals. Do not round.)The claim is thehypothesis.(b) Use technology to find the critical value(s) and identify the rejection region(s).The critical value(s) is/are to =(Use a comma to separate answers as needed. Round to two decimal places as needed.)Choose the graph which shows the rejection region.O A.B.O C.O D.- to tot to4-40 toܩ܂ (c) Find the standardized test statistic, t.The standardized test statistic is t =(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.Ho because the standardized test statistic(e) Interpret the decision in the context of the original claim.Thereenough evidence at the% level of significance to(Type integers or decimals. Do not round.)in the rejection region.the claim that the mean amount of carbon monoxide in the air in U.S. cities isparts per million.

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Answered: Test a claim that the mean amount of…

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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The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ₁): n = 15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (2): n = 15, x=0.38, s=1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho H1 H2 oc Hoi HH2 H₁: H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho H1 H2 The test statistic, t, is (Round to two decimal places as needed.)
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5.58 The concentration of mercury in a lake has been monitored for a number of years. Measurements taken on a weekly basis yielded an average of 1.20 mg/m (milligrams per cubic meter) with a standard deviation of .32 mg/m. Following an accident at a smelter on the shore of the lake, 15 measurements produced the following mercury concentrations. 1.60 1.77 1.61 1.08 1.07 1.79 1.34 1.07 1.45 1.59 1.43 2.07 1.16 0.85 2.11 ES ABOUT POPULATION CENTRAL VALUES a. Give a point estimate of the mean mercury concentration after the accident. b. Construct a 95% confidence interval on the mean mereury concentration after the accident. Interpret this interval. c. Is there sufficient evidence that the mean mercury concentration has increased since the accident? Use a = .05. d. Assuming that the standard deviation of the mercury concentration is .32 mg/m. calculate the power of the test to detect mercury concentrations of 1.28, 1.32. 1.36, and 1.40.
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Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=29, x=0.58, s=0.95 Reduction in Pain Level After Sham Treatment (μ2): n=29, x=0.48, s=1.56 Question content area bottom Part 1 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1:…
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Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=27, x=0.46, s=0.89 Reduction in Pain Level After Sham Treatment (μ2): n=27, x=0.42, s= 1.43 * Find the t stat * Find the p value * state the conclusion * Does the confidence interval support the conclusion of the test * Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? * Is it valid to argue that magnets might appear to be…
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