The total nitrogen (TN) concentration (mg/L) is one of the important indicators for awater sample. It is targeted that the TN discharge from any factory shall have a precisely30 mg/L according to the standard set by the local authority. Therefore, an engineerfrom Factory X has randomly collected 8 samples (21 mg/L, 23 mg/L, 30 mg/L, 28mg/L, 22 mg/L, 27 mg/L, 32 mg/L, and 35 mg/L) to check whether the factory abidewith the standard. After a proper investigation, the engineer claims that the TNconcentrations discharge from the Factory X is lower than the allowable limit. Assessif his claim is true by considering appropriate confidence level. (Note: Provide answerin 2 decimals)

Here sample is given, Xi: 21, 23, 30, 28, 22, 27, 32, 3 Sample size is n= Null hypothesis for the…

Answered: The total nitrogen (TN) concentration…

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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In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the R chart? O a. 0,29.17 O b. 0,26.07 O c. 0,28.17 O d. None is correct O e. 0,30.07 O f. 0,25.12
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
The FDA regulates that fish that are consumed should contain no more than 1.0 mg/kg of mercury. In Florida, bass fish were collected in 24 different lakes to measure the amount of mercury in the fish ('Multi- disciplinary niser activity, 2013). The data for the average amount of mercury in the fish from each lake is in table below. Average mercury level in a lake 0.71 0.15 0.17 0.63 0.43 1.08 0.27 0.5 0.19 1.20 0.94 0.87 0.48 0.44 0.98 0.59 0.28 0.49 1.16 0.25 1.23 0.77 0.73 0.65 For the data shown above, find the following. Round values 3 decimal place (s). Select the correct units for each statistic.
In a fabric manufacturing factory , the quality control process using control charts from SPC . In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters . In a particular hour , the sample means (X -bar) are noted to be : 156.46 , 199.62 , 189.31 , 102.22 , and112.09 respectively . In the same sample , the corresponding ranges are : 11.97 , 12.17 , 13.94, 11.8 11.86 , and 11.83 respectively . What are the lower and upper control limits for the R chart ? a . 0, 25.12 b. 0,30.07 c. 0,28.17 d. None is correct e. 0,26.07 f. 0,29.17
A state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a specific location during the low-water season (July) gave readings of 4.8, 5.2, 4.8, 4.9, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5 ppm? Test using ? = 0.05. a) state null and alternate hypotheses b) state the test statistic c) state the rejection region d) state the conclusion
8. a) The mean of 6 different plots of acidic soil samples is 3.2. An extra plot with pH value 3.9 is included in the sample. What is the new mean? b) Five soil samples have a mean of 12 dS/m for soil electrical conductivity (EC). When a soil sample was removed, the mean is 11 dS/m. What is the value of the soil EC been removed? 9. Loss of calcium is a serious problem for older women. At the beginning of a study on the influence of exercise on the rate of loss, the amounts of bone mineral content in the radius bone of the dominant hand of 11 elderly women were: 0.88, 1.06, 0.90, 1.06, 0.79, 0.80, 0.85, 0.91, 0.94, 1.00, 0.72 Calculate: (a) The mean. (b) The median. (c) The mode. (d) A researcher says: "The mode seems to be the best average to represent the data in this survey." Give ONE reason to support this statement.
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,009 lb / 43 =163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 38.4.
(b) A rescarcher supccts that the fish in a particular elevated wetland have elevated mercury level. To confirm that, five striped bass in that wetland were caught and their tissues were tested for mercury. Then four striped bass in an unpolluted wetland were also caught and tested for the purpose of comparison. Table QI shows the fish mercury levels in mg/kg. Table QI shows the fish mercury levels in mg/kg. Sample from polluted wetland Sample from unpolluted wetland 0.580 0.382 0.711 0.276 0.571 0.570 0.666 0.366 0.598 Construct the 95% confidence interval for the difference in the population means. Then, test at the 5% level of significance, whether the researcher's suspicion is valid. Assume that the population variances are equal.
Albumin is a liver protein that helps circulate vitamins throughout the body. Reduced Albumin has been associated with severe illness with Covid-19 patients. Suppose we wanted to conduct a study to compare the mean Albumin concentration (g/L) between a sample of adult patients hospitalized for Covid 19 (Sample Mean= 32.8, s=6.0) to the mean albumin concentration (g/L) of healthy adults (u=34.1, o=7.13). How many patients would need to enroll from the hospital to conduct this study with 99% confidence, and 80% power? A. 267 B. 120 C. 352 D. 225
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,994lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 5,994/37lb=162lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 181.6lb and a standard deviation of 36.2. The probability is approximately?
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. 145.40, 190.72 O b. 143.55, 165.47 144.77, 159.11 O d. 156.55, 170.47 O e. 142.92, 160.96 Of. None is correct US PAGE NEXT PAGE
16) Unfortunately, arsenic occurs naturally in some ground water (Reference: Union Carbide Technical Report K/UR-1). A A mean arsenic level of u = 80 norta 11: safe for agriculturo1

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