The measured concentration of phosphorus (P) for n = 20 identical specimens of wastewater withknown concentration of 2 mg/L are: 1.8, 2.2, 2.1, 2.3, 2.1, 2.2, 2.1, 2.1, 1.8, 1.9, 2.4, 2.0, 1.9, 1.9, 2.2,2.3, 2.2, 2.3, 2.1, 2.2Calculate the 95% confidence interval for the true mean concentration. Does the interval containthe value 2.0 mg/L? What does this result imply?

Answered: The measured concentration 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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An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.19 kgf/cm? for the modified mortar (m = 42) and y = 16.85 kgf/cm? for the unmodified mortar (n = 30). Let u, and u, be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. Assuming that o, = 1.6 and o, = 1.3, test Hn: 4, - H, = 0 versus H: u, - u, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = Compute the probability of a type II error for the test of part (a) when 4 - Hz = 1. (Round your answer to four decimal places.) Suppose the investigator decided to use a level 0.05 test and vwished B = 0.10 when u, - uz = 1. If m = 42, what value of n…
Solve for D)
You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): 26 49 52 32 15 15 39 41 20 30 46 42 21 40 17 38 13 26 49 26height(m): 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 Read the data into R. (a) Calculate the following using R: ̄x , ̄y , SSx, SSy. (Note that to get SSy or SSx, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation).(b) Perform a complete test of the hypothesis that there is no difference in height as dbh increases. Write out all the appropriate steps of a regular hypothesis test (give H0, H1, α, your decision, etc.)(c) Give the equation of the least squares line
Please don’t use excel
la). The null hypothesis is that the difference in the grams of sugar between ultra-processed and processed food μ = 0 (Ho: μ = 0). Write an example alternative hypothesis for the mean (µ) difference between ultra-processed foods (up) and processed foods (μ). 1b). Next, generate 1,000 samples. Let's say that you asked students in our class to calculate the difference in the amount of sugar between their ultra-processed food and processed food at home, which had a mean (u) sugar difference of 14.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1c). Let's say that your sample difference in the amount of sugar between ultra-processed food and processed food at home was 4.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1d). What is a 92% confidence interval for the data? Please write it using the full confidence interval interpretation language (e.g., I am 92% confident that...). le). What percent of the data lie to the left of -14.25 grams of…
3. Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was meas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I = 300 K 1 2494 2 1247 3 831 4. 623 5 499 416 (a) Usc lincar interpolation to cstimate the pressure when the volume is 3.8 m. (b) Usc cubic spline interpolation to estimate the pressurc when the vol umc is 3.8 m'. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- urcd to be 1000 kPa. (d) Usc cubic spline interpolation to estimate the volume if the pressure is mcasured to be 1000 kPa.
Calculate the L-scale (A₂) for the following data set of observed flows: Q = [10, 4, 3, 9] Answer:
The following data was reported on total Fe for four types of iron formation (1 carbonate, 2 silicate, 3 magnetite, 4 hematite). 1: 21.0 28.1 27.8 27.0 27,8 25.2 25.3 27.1 20.5 31.5 2: 26.2 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 25.0 3: 29.6 34.0 27.5 29.4 26.4 26.2 29.9 29.5 30.0 35.5 4: 37.1 44,2 34.1 30.3 31.8 33.134.1 32.9 36,3 25.3 A USE SALT Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H at least two 's are equal Ho Hi= Ha = H4 H at least two 's are unequal O Ho = = 4 H al four s are unequal H all four 's are equal
We investigate if a period of time feels longer orshorter when people are bored compared to whenthey are not bored. Using independent samples,we obtain these estimates of the time period (inminutes):Sample 1 (bored): X =14.5, s2x =10.22, n =28Sample 2 (not bored): X =9.0, s2x =14.6, n =34(a) What are H0and Ha? (b) Compute tobt. (c) Witha .05, what is tcrit? (d) What should we conclude about this relationship? (e) Using our twoapproaches, how important is boredom in determining how quickly time seems to pass? part f: compute the 95% confidence interval
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsións have been added during mixing) to that of unmodified mortar resulted in x = 18.11 kgf/cm2 for the modified mortar (m = 42) and y = 16.88 kgf/cm2 for the unmodified mortar (n = 31). Let ₁ and ₂ be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. (a) Assuming that o₁ = 1.6 and ₂ = 1.3, test Ho: ₁ - ₂ = 0 versus H₂: H₁ - H₂> 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds 0. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths…

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