Write your complete solutions.In Design and Analysis of Experiments, 8th edition(John Wiley & Sons, 2012), D. C. Montgomery described anexperiment that determined the effect of four different typesof tips in a hardness tester on the observed hardness of a metalalloy. Four specimens of the alloy were obtained, and each tipwas tested once on each specimen, producing the following data:SpecimenType of Tip123419.39.49.610.09.49.39.89.939.29.49.59.79.79.610.010.2(a) Is there any difference in hardness measurements betweenthe tips?(b) Use Fisher's LSD method to investigate specific differ-ences between the tips.(c) Analyze the residuals from this experiment.2

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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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The percentage crude protein content of hay was determined based on 10 bale samples collected from each of four locations (plots as treatments) on a large ranch as follows: Plot A 12.8 13.4 11.2 11.6 9.4 10.3 14.1 11.9 10.5 10.4 b. Plot B 8.1 10.3 4.2 7.8 5.6 8.1 12.7 6.8 6.9 6.4 Plot C 9.8 10.6 9.1 4.3 11.2 11.6 8.3 8.9 9.2 6.4 Plot D 16.4 8.2 15.1 10.4 7.8 9.2 12.6 11.0 8.0 9.8 Set up and complete an ANOVA table for a one-way analysis. Show all work.
A legal case rested on whether a patent witness' signature was written on top of key text in a notebook or under the key text. The zinc measurements for three notebook locations on a text line, on a witness line, and on the intersection of the witness and text line-are provided in the table below. Complete parts a through c below. Text line Witness line 0.319 0.384 0.327 Intersection Find the test statistic. HT-1400 0.321 0.307 0.327 t = (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.) a. Use a test (at a = 0.02) to compare the mean zinc measurement for the text line with the mean for the intersection. Let μ represent the mean zinc measurement for the text line, let uw represent the mean zinc measurement for the signature of a patent witness, and let μ, represent the mean zinc measurement for the intersection line. Select the correct hypotheses below. OA. Ho: HT-Hw=0, H₂: HT μ₁0 OB. Ho: HT-H₁0, H₂: HT-H₁0 O C. Ho: HT-HW = 0,…
(3-B is needed to answer it I am only asking for question 4.) 3) You go out and collect the following estimates of earthworms / acre:54,276 57,378 51,108 66,190 66,232 59,018 57,159These data yield the following: ̄y = 59,765.86, and s = 5,689.606a) Construct a 90% CI for these data.b) Construct a 99% CI for these data.c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimateconsistent with the data above? (Historical note: His estimate was considered way too high inhis day). 4) Consider the results of 3(b). Notice that all the data fit within the 99% confidence interval. Is thisusually the case (in other words, will a 99% CI contain most of the observations)?Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure,substitute 6,000 for 7 in your calculation for (b) to see what happens.
Only answer the questions typed: A. indicate whether it's one or two sidedB. Indicate whether it's a test of means or proportionsC. Write out the expression for determining the P-value
It is a well-known fact that 40% of college students LOVE taking Mathematics. A certain professor at WCC wanted to test to see if a majority of students at WCC LOVE taking Mathematics. To test this, the professor randomly samples 1000 students and finds that 515 of them LOVE taking Mathematics.At the 0.05 level of significance, does the above sample provide evidence to suggest a majority of students at WCC LOVE taking Mathematics? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
1. An experiment was conducted to determine the effect of four different types of tips in a hardness tester on the observed hardness of a metal alloy. Four specimens of the alloy were obtained, and each tip was tested once on each specimen, producing the following data: Specimen Туре of Tip 1 2 3 4 1 9.3 9.4 9.6 10.0 2 9.4 9.3 9.8 9.9 3 9.2 9.4 9.5 9.7 4 9.7 9.6 10.0 10.2 Is there any difference in hardness measurements between the tips? b. b. Use Fisher’s LSD method to investigate specific differences between the tips. c. Analyze the residuals from this experiment. a.
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 94 of the 111 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 #P2 Hy:P1 =P2 O B. Ho: P1 =P2 H1: P1 P2 H1: P1 #P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the null hypothesis. There sufficient evidence to support the claim that echinacea…
2. Two kinds of bumper guards, six of each kind, were mounted on a certain make of compact car. Each car was then run into a concrete wall at 5 miles per hour and the costs of repairs (in dollars) was recorded. Summary of the data is shown below. n = 6 i = 144 si = 363.20 n =6 i = 149 si = 202.00 Test at the 0.02 level of significance whether it is reasonable to assume that the two populations sampled have equal variances.
1.) Write your solution A. Determine the 1" quartile, 2 quartile, 3rd quartile and interquartile range (IQR), given the scores of; 11, 24, 23, 11, 13, 17, 15, 19, 21, then interpret each of your answer. B. Solve for the Percentile Rank of 17.
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 МОЕ 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 МОЕ 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718. (a) Explain why s, is larger when x = 60 than when x = 40. O The closer x is to…
Pulling Apart Wood. How heavy a load (in pounds) is 4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise: 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32.340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution, with standard deviation 3000 pounds. Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 32,500 pounds for the two-sided alternative? Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 31,500 pounds for the two-sided alternative?
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 MOE 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 MOE 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to then = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718.

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