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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df 甲2 1 / 1 125% EXERCISE II A machine learning company claims that its classifier correctly differentiates between images of cats and dogs 7 times out of 10. You want to check this claim, and run the company's classifier on your personal set of data that contains 1; 234 images of cats and dogs. Let X, be 1 if the classifier successfully labeled image i and 0 otherwise. Let S = 1234 X, be the number of times the classifier was right on your data set. You find empirically that S = 785 with an estimated standard deviation s = 0.48. We further suppose that the classifier guesses are independent. (a) What is the distribution of S? (b) What is the estimated success probability p? (c) What is the 95% confidence interval of the value of p based on the data set X1, X2, (d) Is there statistically significant evidence that 0.7 is not a correct estimate for the true probability of success of the classifier? Do you think it indicates that the machine learning company oversold its product? X1234? 1
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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.50 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit 1 upper limit 2 margin of error 3 (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal σ is known the distribution of weights is uniform σ is unknown (c) Interpret your results in the context of this problem. 1% of the intervals created using…
The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14) discusses an investigation of leaching rates of lead in solutions of magnesium chloride. The data in the following table (read from a graph) present the percentage of lead that has been extracted at various times (in minutes). Time (t) 4 8 16 30 60 120 Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4 a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit this model, and compute the standard deviations of the coefficients. b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the time at which the reaction rate will be equal to 0.05. c. The reaction rate at t = Oisequal to B1. Find a 95% confidence interval for the reaction rate at t = 0. d. Can you conclude that the reaction rate is decreasing with time? Explain.
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