Let S = {E1, E2, E3, EA} be lhe sample space of an experiment and let A = {E},B = {E2}, and Care assigned as follows: P(E,)P(E4) = 0.30. Find P(B").{E3, E4} be evenls from S. Ihe probabilities of the sample points0.25, P(E2) = 0.20, P(E) = 0.25, and%3D%3D%3DSelect one:a. 0.55b. 0.20O c. 0.30O d. 0.45e. 0.70O 1.0.50g. 0.75h. 0.25i. 0.80

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Answered: Let S = {E1, E2, E3, E4} be the sample…

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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7. For the following data: 9, 5, 10, 7, 9, 10, 11, 8, 12, 7, 6, 91. Compute the z-score for the raw score of 10.2. Compute the z-score for x = 6. 8. Find the probabilities for the following z-scores:1. p(z < 0.50)2. p(z > -0.25)3. p(z < -1.35)4. p(z > 1.68) 9. Given a distribution with ? = 225 and ? = 15, find the following probabilities:1. p(X > 227)2. p(X > 212)3. p(X < 230)4. p(X < 220)
Given two normally distributed populations with equal means and variances of 100 and 80, what is the probability that samples of size n1 = 25 and n2 = 16 will yield a value of mean "x1 - "x2 greater than or equal to 8?
2.2) The average price of cell phones manufactured by Ahmadi, Inc. is $100 with a standard deviation of $10. Furthermore, it is known that the prices of the cell phones manufactured by Ahmadi are normally distributed. a) Suppose cell phones manufactured by Ahmadi, Inc. are used in a test. Find the probability that exactly two of the three cell phones have prices less than $100.
This is for statistics and probability
12) As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r=.600 for a sample of n = 10 participants. %3D a) Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with a = .05. b) If the sample had n = 25 participants, is the correlation significant? Again, use a two- tailed test with a= .05.
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
Please
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
5. Suppose X is the number of successes in a random sample of size n from a large population with a proportion of success p. What are the mean and the standard deviation of the sampling distribution of X in terms of n and p? The mean is p(l-pland the standard deviation is p(1-p) b. The mean is npand the standard deviation is ap(1-p). The mean is p(1-pland the standard deviation is pp. C. d. The mcan is 7pand the standard deviation is rp.
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a variance of 9. Find an approximated probability that the sample mean is between 29.8 and 30.6.

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