Problem #6: The amount of lateral expansion (mils) was determined for a sample of n = 9 pulsed-power gas metal arc weldsused in LNG ship containment tanks. The resulting sample standard deviation was s = 3.1 mils.Problem #6(a):Problem #6(b):(a) Assuming normality, derive a 95% CI for o².(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 (n)= 9 sample standard deviation (s)= 3.1.

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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Problem 6 The compressive strength of concrete is being tested by a civil engineer. She tests 12 specimens and obtains the following data (in psi): 2213, 2256, 2247, 2203, 2225, 2304, 2289, 2287, 2312, 2252, 2274, 2295. Part a Assuming that the compressive strength is normally distributed, test the hypothesis that the mean strength is at least 2250 psi. Part b Refer to Problem 6. Now assume that the compressive strength is not normally distributed, and test the hypothesis that the median strength is at least 2250 psi. One way to do this is to notice that if the median is 2250 psi, then you can count how many of the samples have strengths above and below that value—i.e., the proportion of samples greater than 2250—compared to the proportion you would expect if the true median were indeed 2250 psi. If you view the data as being either above or below the median, you can calculate the related P-value. Refer to Problem 6. Are the P-values from (a) and (b) similar? If not, can you…
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3 pts Question 3 If an entire population with μ = 60 and o=8 is transformed into z-scores, then the distribution of z- scores will have a mean of and a standard deviation of μ = 0; o = 1. μ = 60; o = 1. O μ = 0; 0 = 8. μ = 60; a = 8. Question 4 3 p Consider a population that has a score of X = 15 associated with a z-score of +1.50. What does
Answer #3 only, show commplete solution.
Problem: A population has parameters μ=65.9μ=65.9 and σ=52.2σ=52.2. You intend to draw a random sample of size n=134n=134.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
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?
To test Ho: o=2.3 versus H1:0> 2.3, a random sample of size n= 15 is obtained from a population that is known to be normally distributed. Cormplete parts (a) through (d). (a) If the sample standard deviation is determined to be s=2.1, compute the test statistic. xổ =(Round to three decimal places as needed.) %3D (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, determine the critical value. xo 05 = (Round to three decimal places as needed.) (c) Draw a chi-square distribution and depict the critical region. 11.67 23.69 6.571 23.685 11.67 23.69 (d) Will the researcher reject the null hypothesis? Click to select your answer(s). Chp
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Question 6 x is a normally normally distributed variable with mean µ = 21 and standard deviation o = 4. Find P(x >10). 0.0275 0.7143 0.0030 0.9970
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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.”
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.

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