From a population with = 100 and o²= 400, we randomly sample one element (X) from this population. If the z-score (measure of relative standing) of X is 0.25, what is X? (a) 105 (b) 100 (c) 95 (d) 90 (e) None of the above
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- Asap= 4 10 A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 82.0% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components. Find P(X= 3). (Round the final answer to three decimal places.)
- A financial analyst of Woolworths is interested in the average number of months that it takes customers to pay off their account debt. He claims that the average number of months it takes is less than four. He takes a sample of fifty customers and records the number of months it takes each customer to pay off his debt. Suppose that the test statistic value to test this claim is calculated as -0.34, determine the p-value.18 A sample of n=8 scores has a mean of M=12. One new score is added to the sample and the new mean is found to be M=13. What is the value of the new score?In 1973, only 8% of the students in the city school district were classified as being learning disabled. A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years. To demonstrate this point, a random sample of n = 13 students is selected. In this sample there are 3 students who have been identified as learning-disabled. You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a 0.02 level of significance. Part 1: What is the hypothesized (assumed constant) population proportion for this test? p = (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the researcher's understanding of the situation, how many tails would this hypothesis test have? O one-tailed test two-tailed test
- A random sample of 200 female high school students in India showed that 110 are on Facebook. A separate random sample of 150 male high school students in India showed that 69 are on Facebook. Let P1 and P2 be the proportion of all female and male high school students in India, respectively, who are on Facebook. Which the following are the estimate of p(combined), pc, and the standard test statistics, z, of the difference in the population proportions? O (C) pc = 0.51, z=pc = 0.51, z=(0.55 -0.46)-51/(0.51)(0.49)200+(0.51) (0.49)150 O pc = 0.11, z-(0.11 -0.51)-0V(0.51)(0.49)200+(0.51)(0.49)150 %3D O ic - 0.51, z-(0.55 -0.46)-0V(0.51)(0.49)200+(0.51)(0.49)150 %3D O ộc = 0.51, z-(0.55-0.46)-0v(0.46)(0.54)200+(0.55)(0.45)150 O Dc = 0.51, z-(0.55 -0.46)-0v(0.55)(0.45)200+(0.46) 54)150 Next STE 165 WQ. 35 How do you test the equality of two means of normal populations N(H1,07) and A H2,02) when o and o; are known?Assume that W (t) is a standard Brownian motion and that S(t) is a random variable defined as S(t) = 8 · 2W(t). Determine
- Solve second one(2.1)The director of student recruitment is interested in the ACT scores for the incoming Freshmen class. A group of 300 students is surveyed and the research finds that these students have an average ACT score of 21. For this study, the average of 21 is an example of a(n) ___________.
