1. The experimental data on the hardness of the Hebel brick with 2 dryingmethods (methods A and B) and 4 levels of drying time on a dryingmachine are as follows:Hardness data (MPa) experimental results of 2factors (Method and drying time)Hebel brick sampleTimeMethod(minute)1234A3030323229A4535363432A60364038383025282523В45273027256028322927What hypotheses can be tested in this experiment?

Given the experimental data on the hardness of the Hebel brick with two drying methods(methods A and…

Answered: 1. The experimental data on the…

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 the article “Groundwater Electromagnetic Imaging in Complex Geological and Topographical Regions: A Case Study of a Tectonic Boundary in the French Alps” (S. Houtot, P. Tarits, et al., Geophysics, 2002:1048–1060), the pH was measured for several water samples in various locations near Gittaz Lake in the French Alps. The results for 11 locations on the northern side of the lake and for 6 locations on the southern side are as follows: Northern side: 8.1 8.2 8.1 8.2 8.2 7.4 7.3 7.4 8.1 8.1 7.9 Southern side: 7.8 8.2 7.9 7.9 8.1 8.1 Find a 98% confidence interval for the difference in pH between the northern and southern side.
The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3600 3750 3650 4050 2770 RBOT 370 345 375 315 350 205 TOST 4870 4525 3450 2700 3750 3325 RBOT 400 380 285 220 345 290 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) r = Carry out a test of hypotheses to decide whether RBOT Time and TOST time are linearly related. (Use ? = 0.05.) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value =
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. Heater Wattage Area 1 1,000 108 2 750 291 3 1,500 100 4 1,000 43 5 1,250 68 6 1,500 181 7 1,250 254 8 750 228 9 1,500 126 10 1,500 166 11 750 45 12 750 237 13 1,000 75 14 1,750 126 15 1,750 249 16 1,750 105 17 1,750 298 18 1,250 212 19 750 98 20 750 185 Click here for the Excel Data File a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734…
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. Heater Wattage Area 1 1,000 290 2 750 292 3 1,500 148 4 1,250 246 5 1,250 203 6 750 85 7 1,250 237 8 1,000 139 9 1,500 64 10 1,000 171 11 1,750 163 12 1,250 175 13 750 264 14 1,500 50 15 1,750 163 16 1,500 177 17 1,250 118 18 1,750 122 19 1,000 144 20 1,500 103 Click here for the Excel Data File Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.025 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t…
In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen ( NOx ) of diesel trucks, 10 trucks were run at temperatures of 40°F and 80°F . The emissions, in parts per billion, are presented in the following table. Truck 40°F 80°F 1 926.5 896.7 2 851.1 857.0 3 975.5 952.1 4 1009.3 884.8 5 871.8 840.7 6 949.2 885.1 7 1006.3 885.5 8 836.5 777.8 9 837.8 850.2 10 958.9 882.1 Send data to Excel Let μ1 represent the mean emission at 40°F and =μd−μ1μ2 .Can you conclude that the mean emission differs between the two temperatures? Use the =α0.05 level of significance and the TI-84 Plus calculator to answer the following. p value ? do we reject? is there enough evidence :?
A dietitian wishes to see if a person’s cholesterol level will be changed if the diet is supplemented by a certain mineral. Four subjects were pre-tested, and they took the mineral supplement for a 6-week period. The results are shown in the table. Is there sufficient evidence to conclude that the population mean of cholesterol levels has been changed after six weeks at α=0.2α=0.2? Assume that the differences are from an approximately normally distributed population. Subject Cholestrol Level (mg/dl) Cholestrol Level after 6 Weeks (mg/dl) dd ¯dd¯ (d−¯d)2(d-d¯)2 1 206 217 11 2 219 184 -35 3 202 204 2 4 213 205 -8 Total -30 a) Calculate the mean, the sum of the squared deviation from the mean, and the standard deviation of differences. Do not include the unit for each answer: ¯d=d¯= (do not round) ∑(d−¯d)2=∑(d-d¯)2= (do not round) sd=sd= (rounded to one decimal place) b) Perform the hypothesis test in the following steps: Step 1.…
Here is a dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals in roadway runoff.Phragmites australis, a fast-growing non-native grass common to roadsides and disturbed wetlands of Tidewater Virginia, was grown in a greenhouse and watered with either: Distilled water (control); A weak petroleum solution (representing standard roadway runoff); Sodium chloride solution; Magnesium chloride solution; De-icing brine (50% sodium chloride and 50% magnesium chloride).Twenty grass preparations were used for each solution, and total growth (in cm) was recorded after watering every other day for 40 days.-Perform the correct statistical test to determine the p-value.-Report your answer rounded to four decimal places.-You should use formulas, functions, and the Data Analysis ToolPak in MS Excel to avoid additive rounding errors. Here are some useful functions: =t.test(array1,array2,tails,type) Produces a p-value for any…
37- An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 7 parts produced from machine A and 7 parts produced from machine B are given below. Accordingly, find the Mann Whitney U critical table value required to test the expert's claim at a = 0.05 significance level. a) 12 B) 14 c) 16 D) 18 e) 21
The performance of two analysts in determining total mercury (mg / kg) in fish was evaluated using the absorption spectrometry method. The results on the concentrations of mercury found in fish, for each analyst, are presented in the table below: Analyst 1 Analyst 2 7 12 9 8 6 9 11 13 13 14 8 9 7 8 13 10 12 7 9 15 (a)Is the performance in determining total mercury for Analyst 1 more accurate than Analyst 2? Compare the accuracy in the results of the two analysts at a 95% confidence level. Explain. (b)Are the results obtained by the two analysts, in the concentrations of mercury found in the fish, statistically equivalent, with 95% confidence? Explain
The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determination
2- An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 4 parts produced from machine A and 4 parts produced from machine B are given below. Find the Mann-Whitney U value by using these data. a) 18 B) 6 NS) 16 D) 20 TO) 12
37// An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 7 parts produced from machine A and 7 parts produced from machine B are given below. Accordingly, find the Mann Whitney U critical table value required to test the expert's claim at a = 0.05 significance level. a) 12 B) 14 NS) 16 D) 18 TO) 21

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