A sample of 20 specimens of soil was tested under shear, and water absorption tests.8 of them failed in shear test, while 4 was failed in water absorption test and 2 failedin both. Find the following probabilities if a random sample is selected?1-Failed in one of them at least?2-Failed in one of them at most?3-If it is failed in shear to be failed in absorption?4-1f it is good in absorption to be bad in shear?

Answered: Image /qna-images/answer/3c502cbb-1aab-42d0-8e93-d278f99b9bde.jpg

Answered: A sample of 20 specimens of soil was…

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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3.3
In a recent Super Bowl, a TV network predicted that 84 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 61 people who saw the commercials and found that 49 of them said they would watch one of the television shows. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho:p: = 0.84 Ha:p 0.84 Calculate the test statistic, rounded to 3 decimal places 2 =
If a researcher obtains a sample mean of M= 54, from a population with u = 46. With a given alpha, which combination of factors is most likely to result in rejecting the null hypothesis?
A recent study found that 18 out of 30 students believe that 8 AMs are tougher than other class times. Research at the beginning of the semester found that 43% of the class felt that 8 AMs are tougher than other class times. The professor is curious if this means 8 AMs are indeed tougher than other class times. Which of the following is the null hypothesis? 1. Ho: p > 0.43 2. Ho: p = 0.43 3. Ho: p < 0.43 4. Ho: p != 0.43 Which of the following is the alternate hypothesis? Group of answer choices 1. Ha: p = 0.43 2. Ha: p < 0.43 3. Ha: p > 0.43 4. Ha: p != 0.43 What is the Z score of our test statistic?
A researcher sets his decision criteria at p = .01. That is, she decides that she will reject the null hypothesis if the z – value she obtains has a probability of .01 or less. What is this researcher’s probability of making Type I error?
Let Y1 and Y2 be independent random variables with unknown mean μ and known variance σ2 =1. Which of the following two estimators of μ has smaller MSE? Justify your answer.
Assume X and Y are independent random variables with X ~ Binomial(n =100, p = 0.2) and Y ~ Pascal(m =16, p = 2/3) . Find the indicated expected value and variance. a. E(3X + 2Y +1) b. Var(3X + 2Y +1)
In a random sample of 80 male students at a college, 28 said they frequently send at least one text message before getting out of bed in the morning. In a random sample of 105 female students at the same college, 50 said they frequently texted before getting out of bed. Let p₁= the proportion of all male students at this college who frequently text before getting up, and let p2= the corresponding proportion for female students. For a test of the hypothesis Ho: p₁-P2 = 0, which of the following is a correct expression for the test statistic? a. 0.35 -0.48 0.48(0.52) 0.35(0.65) 80 + 105 b. 0.350.48 0.35(0.65) 0.48(0.52) + 80 105 (0.42)(0.58) 185 Z=
In random samples, 74 of 250 persons who watched a certain television program on a small TV set and 92 of 250 persons who watched the same program on a large set remembered 2 hours later what products were advertised. Use the x² statistic to test the null hypothesis 01 = 02 against the alternative hypothesis 01 02 at the 0.01 level of significance. 2
Suppose you have used a randomized block design to help you compare the effectiveness of three different treatments, A, B, and C. You obtained the data given in the table to the right and plan to conduct a Friedman F,-test. Complete parts a through c below. Treatment Block A В 14 13 14 2 11 13 12 10 10 19 4 13 18 5 14 14 15 a. Specify the null and alternative hypotheses you will test. Ho: All of the probability distributions for the 3 treatments is/are identical Ha: At least two of the probability distributions for the 3 treatments is/are different b. Specify the rejection region for the test. Use a = 0.05. F. 5.991 (Round to three decimal places as needed.) > c. Conduct the test and interpret the results. Find the test statistic F,. (Round to two decimal places as needed.) =
A hypothesis was tested twice using a two - tailed z- test. The first test was done with a 5% significance level while the second test using a 10% significance level. If the test stastic for both tests is - 1.75, which of the following is true? A At 5% and 10% alpha level, the null hypothesis is accepted B The null hypothesis is rejected at 5% and accepted at 10% C The null hypothesis rejected for both tests At 5% the null hypothesis is accepted and rejected at 10%
Suppose a group of 900900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 356356 patients who received the antidepressant drug, 113113 were not smoking one year later. Of the 544544 patients who received the placebo, 203203 were not smoking one year later. Given the null hypothesis ?0:(?1−?2)=0H0:(p1−p2)=0 and the alternative hypothesis ??:(?1−?2)≠0H, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01(a) The rejection region is |?|>(b) The test statistic is ?=zThe final conclustion is

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