Problem #6: The amount of lateral expansion (mils) was determined for a sample of n = 7 pulsed-power gas metal arc weldsused in LNG ship containment tanks. The resulting sample standard deviation was s = 2.9 mils.Problem #6(a):Problem #6(b):(a) Assuming normality, derive a 95% CI for o(b) Assuming normality, derive a 95% CI for o.enter your answer in the form a,b(numbers correct to 3 decimals)enter your answer in the form a,b(numbers correct to 3 decimals)

The sample size is 7, sample standard deviation is 2.9.

Answered: Problem #6: The amount of lateral…

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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Question 5: 'Time headway' in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X be the time headway for two randomly chosen consecutive cars (in seconds). Suppose X has pdf f(x)= Ja> 1 To x ≤ 1 (a) Find the value of k. (b) Obtain the mean value of headway and the standard deviation of headway. (c) The cdf of X is F(x) = {:. x ≤ 1 1- x>1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?
ol 106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two sources of variability in ANOVA. 3.5 3.0 2.5 2.0 1.5 (i) HA: P₁ P2 ‡ P3 (iii) HA not all proportions are equal to this po 1.0 Figure 7.12: Within vs Between Variability in ANOVA onnisth Scenario A L (d) Recall that, O 2 H 3 2.05 2.10 2.15 2.20 2.25 2.30 2.35 (ii) Ho: M₁ M₂ = μ3 sans are (iv) HA: not all means are equal 720 qeaoluet alt sot mol 4 mobor 2924 (6) 2 3 4 gob za aim onbala (1) di batt (9) w-qodt fonqtotal bac o2 (6) (Troy ote12. (0) (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. Scenario B 1 = stogol 05 O 1 oftaltete fest out of sulav gris I (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? Agulow (c) Which scenario exhibits more variability between each factor level? Is this measured by…
QUESTION 6 A team of researchers is investigating a drug for reducing systolic blood pressure. A group of 6 subjects was selected in this study. The systolic blood pressures were measured before and after the treatment with this drug and are listed the table above. This team wishes to test whether there is a statistically significant reduction in blood pressure after the use of the drug treatment. If the assumption of normality is accepted, which of the following conclusions is(are) correct using a t-test? Subject ID 1 2 4 6 Before 144 152 155 149 151 148 After 143 152 148 145 144 147 The p-value of the test is .012. The p-value of the test is .024. The p-value of the test is .048. The p-value of the test is .096.
Question 4
Problem 3
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Problem 5.2.: The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Please Refer to Problem 5.2.: Question: The decision rule to be used at α=5% is: “Reject Ho of tc > ttab = 66, otherwise fail to reject Ho.”
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Problem II. Assume x is normally distributed with a population mean u= 15 and population standard deviation 0=3. Use the approximate areas beneath the normal curve to answer the following five questions.
Problem 2. An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of fire-refighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.1 and a standard deviation of 0.6. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.6 and a standard deviation 0.8. a. Can you draw any conclusions about differences in mean foam expansion? Use a=0.05. Assume that both populations are well represented by normal distributions with the same standard deviations. Find the value of the test statistic. Suppose that the null hypothesis is H: µ -4=A, =0. What is your conclusion about differences in mean foam expansion? b. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
Problem #1: Using a bar of length, you are going to lay out a square plot in which the length of each side will be length u. Thus the area of the plot will be u. However, you do not know the value of u and so you decide to make 19 independent measurements of the bar, (Xi = 1,...,n}. Assume that each X has mean (unbiased measurement) and variance o² = 0.5. Problem #1(a): Problem #1(b): (a) Find the bias of the random variable ² as an estimator for ². (b) For what value of k is the estimator X2 - ks2 unbiased for u²? answer correct to 4 decimals answer correct to 4 decimals

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