The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table. 2 3 х 0.03 0.01 0.02 0.01 0.01 0.09 0.05 0.08 0.03 0.01 0.04 2 0.09 0.05 0.07 0.02 3 0.06 0.04 0.07 0.04 0.02 0.03 0.02 4 0.04 0.03 0.04 Find µx+Y• a. Find Ox+Y- b. Find P(X + Y = 5). C.
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- For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. 95% of the adults in this species have a mass between 6.7 grams and 8.1 grams.A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 8What probability level did you choose and why?What were your degrees of freedom?Is there a significant difference between the two testing conditions?Interpret your answer.If you have made an error, would it be a Type I or a Type II error? Explain youranswer.A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 81. What is your computed answer?2. What would be the null hypothesis in this study?3. What would be the alternate hypothesis?4. What probability level did you choose and why?5. What were your degrees of freedom?6. Is there a significant difference between the two testing conditions?7. Interpret your answer.8. If you have made an error, would it be a Type I or a Type II…
- An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.Suppose that in a combined statistics class of 450 students a lecture manages to measure the weights of 75 students who registered for STA 132 and 65 students who registered for STA 122. Let X be the weight variable of Sta121 students so that the average weight is 49 and summation of square of students weights is 586884. Moreover let y be the weight varible of Sta 122 student sothat the avverage weight is 60, and the summation of the square of student weight is 595884. Assume that the sample were selected from two population that are normally distributed with unequel standard deviation. 1. Dertemine the point estimate of the difference between the two unknown population mean weights. 2 construct a 97 % confidence interval of the difference between the two unknown population weights. 3. Test at 3 % confidence level if the two unknown population mean weights are different.What is the z0 and Pvalue ?
- AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.Suppose that a study of a certain computer system reveals that the response time, in seconds, has an exponential distribution with density curve f(x) = (1/3)e(-x/3) for x > 0 and f(x) = 0 otherwise. What is the probability that response time exceeds 5 seconds? What is the probability that response time exceeds 10 seconds?Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle has a recharging time that has a uniformly distributed between 70 and 110 minutes. What is the expected recharging time in minutes?(Enter your answer with no decimal places).
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