7.10 Refer to Exercise 7.9. Assume now that the amount of fill dispensed by the bottling machineis normally distributed with o = 2 ounces.aIf n = 9 bottles are randomly selected from the output of the machine, what is P(|Y-μ|≤.3)? Compare this with the answer obtained in Example 7.2.bFind P(|Y-μ| ≤.3) when Y is to be computed using samples of sizes n = 25, n = 36,n = 49, and n = 64.cWhat pattern do you observe among the values for P(Y-μ| ≤.3) that you observed forthe various values of n?dHow do the respective probabilities obtained in this problem (where o = 2) compare tothose obtained in Exercise 7.9 (where o = 1)?

Answered: Image /qna-images/answer/5fe03388-28b9-4746-8d63-caaa78bed99b.jpg

Answered: Refer to Exercise 7.9. Assume now that…

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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Consider randomly selecting n segments of pipe and determining the corrosion loss (mm) in the wall thickness for each one. Denote these corrosion losses by Y₁' Yn. The article "A Probabilistic Model for a Gas Explosion Due to Leakages in the Grey Cast Iron Gas Mains"+ proposes a linear corrosion model: Y; = t;R, where t; is the age of the pipe and R, the corrosion rate, is exponentially distributed with parameter 1. Obtain the maximum likelihood estimator of the exponential parameter (the resulting mle appears in the cited article). [Hint: If c> 0 and X has an exponential distribution, so does cX.] O Â = O Â = O λ = * * O n Srit) i = 1 n j = 1 Σ i = 1 n n i = 1 n LY i = 1 n 0 1 = L (rt) 2 i = 1 | = 1 n n Y; | = 1
#3A famousNBA Player was a 38%0 e accurate 3-Pont shooter (makes 389% of the tme) for hes coneer. What is the probobtliy he mokes ot least 5 aut of 10 3-POMt shots!
A random sample of 160 car purchases are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the critical value xa to test the claim that all ages have purchase rates proportional to their driving rates. Use α = 0.05. Round to three decimal places. Age Under 26 26-45 46-65 Over 65 66 39 30 Purchases O A. 11.143 OB. 7.815 O C. 6.251 OD. 9.348 25
If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.46
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
Ex. Given a random sample of size n from a gamma populatin. use the method of moments to obtain formulas for estimating th parameters a and B.
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.257, P-value=0.072, and y=7.92−0.300x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=3. Use a 0.05 significance level. The best predicted value of y when x=3 is? (Round to one decimal place as needed.)
A number of studies have shown lichens (certain plants composed of an alga and a fungus) to be excellent bio-indicators of air pollution. An article gives the following data (n = 13) on x = NO3- wet deposition (g N/m²) and y = lichen (% dry weight): x 0.05 0.10 0.11 0.12 0.31 0.37 0.42 0.58 0.68 0.68 0.73 0.85 0.92 y 0.53 0.58 0.45 0.54 0.57 0.53 1.03 0.89 0.90 1.02 0.91 1.00 1.66 Predictor Constant no3 depo Estimate 0.39329 0.9286 0.1767 S = 0.1866 R-sq = 71.5% Standard Error 0.09566 t Stat 4.11 5.26 p-value 0.002 0.000 R-sq (adj) = 68.9% (a) What are the least square estimates of B and ẞ₁? (Round your answers to three decimal places.) bo = = (b) What is the margin of error for a 95% CI for ẞ₁? (Round your answer to four decimal places.) Margin of Error = (c) Predict lichen N for an NO3 - deposition value of 0.7. (Round your answer to three decimal places.) % dry weight (d) What is the estimate of σ? (Round your answer to four decimal places.) S = % dry weight
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 = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 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. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…

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