Problem 3Incinerators can be a source of hazardous emissions into the atmosphere. Stack gas samples were collectedfrom a sample of 50 incinerators in a major city and compared against the environmental standard.Part aOf the 50 samples, only 18 passed the environmental test. Can it be concluded that fewer than half of theincinerators in the city meet the standard? Part bRefer to Problem 3. Of the 50 samples, how many would have to pass the test in order for you to concludethat at least 70% of the incinerators in the city meet the standard? Use a one-sided confidence level of 95%.Also sketch the relevant distribution, indicate the critical value and mark the critical region.

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Answered: Problem 3 Incinerators can be a source…

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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Based on Angel et al. (2003). A fertilizer companyis trying to determine the cheapest fertilizer mix thatprovides desired amounts of nutrients. The mix ismade by combining the following fertilizers: SSA,SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage ofpotassium (K), sulfur (S), calcium (Ca), sodium (Na)and phosphorus (P) in each fertilizer is listed in the fileP06_88.xlsx. For example, a pound of SSA is 16% Kand 26% Na. The mix must contain at least 600 poundsof K, 550 pounds of S, 750 pounds of Ca, 900 poundsof Na, and 750 pounds of P. The mix cannot containboth GUR and TSP, because if both are present in themix, the affect of other fertilizers is nullified. The costper pound (in cents) of each fertilizer is listed in thesame file. Develop a linear integer model to find theminimum-cost fertilizer mixture that meets the statedchemical requirements.
Problem 2: Two different analytical tests can be used to determine the impurity level in steel alloys. Nine specimens are tested using both procedures, and the results are shown in the following table: Specimen 1 2 3 4 5 6 7 8 9 1.186 1.151 1.322 1.339 1.061 0.992| 1.063 | 1.062 1.065| 1.178| 1.037 1.086 | 1.052 Test1 1.2 1.402 1.365 1.537 1.559 Test2 Paired Samples Test Paired Differences 95% Confidence Interval of the Difference Mean Std. Deviation Std. Error Mean Lower Upper df Sig. (2-tailed) Pair 1 Test1 - Test2 .135099 .377736 6.082 8 .273889 .045033 .170042 .000 1- Is there sufficient evidence to conclude that both tests give the same mean impurity level, use a significance level of 0.05? 2- Find a 95% confidence interval for the mean difference between the Test1 and Test2?
Solve second question
QUESTION FOUR A bottling company in Ghana is interested in the effects of three methods used to sanitize its glass containers. The table below sows the three different methods and the sanitation grades of glass containers produced by the company. Method Sanitation Grade Acceptable Marginal Unacceptable A 140 132 63 B 89 74 44 140 98 50 Determine whether sanitation grade is related to method used to sanitize glass containers. Use a significance level of 5%.
What is the minimum number of passengers to contract the virus?
You conducted additional studies with these men and found the following: The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85). Which one of Hill’s criteria does this illustrate? Explain.
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
In a data set with 25 scores, if the value 16 occurs 12 times, what is its relative frequency?
1.3 of your textbook about the automobile that was tested for production defects, but assume that the number of production defects is 21 and that 12 of these are classified as major defects, 11 are classified as design defects, and 6 were neither major defects nor design defects. How many of the design defects were major?

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