QUESTION 75.58c: State the p-value and your conclusionHint: L-13, p.9-10p-value=D0.016<0.053Da --> Fail to reject HO. There is NOT significantevidence that the mercury concentration has increasedI.p-value=D0.016<0.05%3Da --> Reject H0. There is significant evidencethat the mercury concentration has increasedp-value%3D0.008<0.05%3Da --> Reject H0. There is significant evidencethat the mercury concentration has increasedOMp-value=D0.008<0.05=a --> Fail to reject HO. There is NOT significantevidence that the mercury concentration has increased 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 percubic meter) with a standard deviation of .32 mg/m. Following an accident at a smelter on theshore of the lake, 15 measurements produced the following mercury concentrations.1.601.771.61 1.08 1.07 1.79 1.341.071.451.59 1.43 2.07 1.16 0.85 2.11ES ABOUT POPULATION CENTRAL VALUESa. Give a point estimate of the mean mercury concentration after the accident.b. Construct a 95% confidence interval on the mean mereury concentration afterthe accident. Interpret this interval.c. Is there sufficient evidence that the mean mercury concentration has increasedsince 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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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 bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
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Now suppose that the true mean exposure time is different from 8h/day, yet the sample mean falls in the acceptance region. In this case we would fail to reject H0 when it is false. This type of wrong conclusion is called a A. type II error B. type I error C. no error D. statistically significant
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. 1.96,-1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fail to reject Ho. There is sufficient…
Esp Heavy children: Are children heavier now than they were in the past? The National Health and Nutrition Examination Survey (NHANES) taken between 1999 and 2002 reported that the mean weight of six-year-old girls in the United States was 49.3 pounds. Another NHANES survey, published in 2008, reported that a sample of 193 six-year-old girls weighed between 2003 and 2006 had an average weight of 52 pounds. Assume the population standard deviation is o =16 pounds. Can you conclude that the mean weight of six-year-old girls in 2006 is different from what it was in 2002? Use the a =0.01 level of significance and the critical value method. 00 Part: 0/ 5 Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H.: OD O=0 dl. H : This hypothesis test is a (Choose one) test. 00
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