An experiment is designed 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 3 4 9,3 9,4 9,2 9,7 9,4 9,3 9,4 9,6 9,6 9,8 9,5 10 9,9 3 9,7 10,2 10 What is your conclusion about this test at 0.05 level of significance? O a. There is no difference between four specimens of the alloy. O b. At least one specimens of the alloy is different. 685O

An experiment is designed 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 3 4 9,3 9,4 9,2 9,7 9,4 9,3 9,4 9,6 9,6 9,8 9,5 10 9,9 3 9,7 10,2 10 What is your conclusion about this test at 0.05 level of significance? O a. There is no difference between four specimens of the alloy. O b. At least one specimens of the alloy is different. 685O

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 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
In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data were obtained: Specimen Weight on Scale 1 Weight on Scale 2 1 13.36 13.19 2 16.80 16.43 3 9.75 9.52 4 11.03 11.47 5 26.00 26.22 6 10.80 10.73 7 14.68 14.74 8 6.60 6.72 9 13.02 12.95 10 22.29 22.64 Let μ1 represent the mean weight on Scale 1 and =μd−μ1μ2.Can you conclude that the the mean weight on Scale 1is less than the mean weight on Scale 2? Use the = α0.05 level of significance. (a) State the null and alternate hypotheses. (b) Compute the test statistic. (c) State a conclusion.
23453 An experiment is designed 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 3 1 9,3 9,4 9,6 10 9,4 9,3 9,8 9,9 3 9,2 9,7 9,4 9,6 9,5 9,7 10,2 4 10 What is the appropriate null and alternative hypotheses? O a. Ho: H1 = H2 = H3 = H4 H: At least one u; is different O b. Ho: H1 = H2 = H3 = H4 = 0 H: At least ome u; + 0 O c. Ho: T1 = T2 = T3 = T4 H: At least one t, is different O d. Ho: H1 = 42 = H3 H: At least one u, = 0
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4. During a given exercise in class data on the heights of fathers (X) and of sons (Y) was collected. The following results were then obtained: Σχ= 71, ΣΥ = 70, Σ χ2555, Σγ?526 and ΣΧΥ-527 %3D Check for the level of association between the heights of fathers 10 and of 10 sons
A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---
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2 In building electronic circuitry, the breakdown voltage of diodes is an important quality char- Acteristic. The breakdown voltage of 12 diodes were recorded as follows (in volta): 9.099 9.174 9.327 9.377 8.471 9.575 9.514 8.928 8.800 8.920 9.913 8.306 Solution A quality engineer claimed that the variability of the breakdown voltage is not less than 0.55. Can the data support the engineer's claimed at a 0.057 ii. If level of significance is reduced to 0.02, will you change the conclusions you have made in (i)? Justified your answer.
(Please show all work on how you got this so I may learn from it and check my answers.) A researcher is interested in understanding if perfume affects how attractive a person is perceived tobe. To examine this phenomenon, the research randomly assigns the participants to rate theattractiveness of an individual from one of three groups: no perfume, a small amount of perfume, and alarge amount of perfume. Below are the ratings to how attractive the participants find the individual:NO Perfume A SMALL Amount of Perfume A LARGE Amount of Perfume4 6 05 3 13 5 05 4 14 5 23…
The ratio of the lengths of the second and the fourth fingers, denoted 2D:4D, is an indicator of the level of prenatal testosterone. It is known that higher prenatal testosterone levels are associated with a lower 2D:4D value. Since testosterone levels are known to be related to behavioural traits, it has been conjectured that certain types of aggressive and dominant behaviours may be associated with lower 2D:4D values. van der Meij et al. (2012) conducted a study that investigated the possible relationship between 2D:4D and so-called "sociable" and "aggressive" dominance. For the study, 84 male students completed two questionnaires, measuring sociable and aggressive dominance respectively, on which high scores related to increased aggression. After some adjustments, a score between 1 and 6 was recorded for each subject on each questionnaire. The participants' hands were scanned and measurements taken, on which a 2D:4D measure could be recorded per subject by averaging the ratio for…
A sample of birth weights of 30 girls was taken. Below are the results (in g): 3813.4 3865.6 3640.6 3960.9 3344.1 3731.1 3764.6 2590.2 3548.2 2991.3 3116.1 2803 3202.7 2893.8 3606.7 3434.1 3595.8 2911.2 2916.3 2955.6 2942 3737.8 2713.4 3962.3 2833.1 3099.7 3013.2 3568.8 3671.4 1958 (Note: The average and the standard deviation of the data are respectively 3272.8 g and 480.82 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 520 g. Procedure: One variance y Hypothesis Test v Assumptions: (select everything that applies) Population standard deviation is unknown Normal population I Sample size is greater than 30 | Population standard deviation is known a Simple random sample | The number of positive and negative responses are both greater than 10 Part 2 of 5 Step 1. Hypotheses Set-Up: where o* is the Но: 1 population standard deviation v f and the units * 270400 are…
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…