A sample space has 3 outcomes, {1,2,3}{O1,O2,O3}. Suppose E={1,2}E={O1,O2}, and F={1,3}F={O1,O3}. If Pr[E]=0.58Pr[E]=0.58 and Pr[F]=0.63Pr[F]=0.63, what is Pr[{2,3}]Pr[{O2,O3}]? equation editor lines are ps
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- You study a population and are interested in the proportionpthat has a certain characteristic. You are unaware that this proportion of the population isp=0.67. You have taken a random sample of sizen & 129of the population and determined that the proportion of the sample having the characteristic isp=0.73. His sample is Sample 1 in the following table. (In the table, Sample 1 is indicated by "M1", Sample 2 by "M2", and so on). (to) Based on Sample 1, plot the confidence intervals of80%and of95%for the population proportion. Use1,282for the critical value for the confidence interval of80%, and use1960 for the critical value for the confidence interval of95%. (If necessary, you can refer to a list of formulas.) • Write the upper limit and the lower limit on the graphs to indicate each confidence interval. Write the answers with two decimal places. • For the points ( ♦and ◆), write the population proportion,0.67. 0.47 0.47 80% confidence interval 0.65 X 0.84 0.84 0.47 0.47 95% confidence…A travel agency wants to promote pleasure trips into space and wants to know which of the two commercial companies should they promote Virgin Galactic or Blue Origin? The one preferred by the customers will be the one they decide to promote. For this reason they take a random sample of 16 potential travelers, and they ask if they would prefer Virgin Galactic or Blue Origin. Let X be the number of travelers who preferred Virgin Galactic and let p=X/16 denote the corresponding proportion. Suppose that we want to show that Virgin Galactic is preferred to Blue Origin. Please formulate the null and alternative hypotheses and calculate the rejection region. Use α=0.05 Suppose that 11 out of 16 prefer Virgin Galactic and that α = 0.05, is this enough evidence to show that Virgin Galactic is preferred to Blue Origin? Perform the test and give your conclusion. Which company should they promote?A teacher believes that students who study more than four hours for her tests will do better than students who do not study for her tests. To test this belief, the teacher recruited 16 students and randomly assigned them to two groups: G1: a group of n1=8 students that studied more than four hours for her test, and G2: a group of n2=8 students that did not study for her test. The following are the data from G1, who studied more than four hours for the test: n1=8 M1=85 s1=5 (this is the standard deviation of the sample, dividing the sum of squares by n1) The following are the data from G2, who did not study for the test: n2=8 M2=75 s2=4 (this is the standard deviation of the sample, dividing the sum of squares by n2) Perform a t-test by answering the questions below. Use an alpha-level of α=.05. 0. Using formulas from Section 4, compute the estimates of the population variances, est. σ12 and est. σ22 (from s1 and s2 above). 1. What is the research…
- SpgAt Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 306 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 252 had no visible scars after treatment. Another random sample of n2 = 428 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limitAt Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 304 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 254 had no visible scars after treatment. Another random sample of n2 = 414 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let P2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for Pi – P2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all…
- A production superintendent claims that there is no difference between the employee accident rates for the day versus the evening shifts in a large manufacturing plant. The number of accidents per day is recorded for both the day and evening shifts for n = 100 days. It is found that the number of accidents per day for the evening shift XE exceeded the corresponding number of accidents on the day shift xp on 63 of the 100 days. Do these results provide sufficient evidence to indicate that more accidents tend to occur on one shift than on the other or, equivalently, that P(XE > XD) # 1/2?I need help with all parts of this question 8A researcher wants to determine whether adolescents spend more time in a day around friends than adults do. He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32). The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44. He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40. a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01? b. What is the variance? c. What is the estimated standard error? d. What is the value of the t statistic? e. Do we reject or fail to reject the null hypothesis (α = .01)? Why? f. Calculate and report the variance explained ( r2)
