What is P(X =2)?
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- Consider the following simple linear regression. iid Y = Po + B₁X + e, e~ N(0,02), i 1,..., n.As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVS). Suppose the following data show the miles-per-gallon rating obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVS, and two hybrid midsize SUVS; also shown are the miles per gallon obtained for eight similarly equipped conventional models. Class Турe MPG Small Car Hybrid 38 Small Car Conventional 27 Small Car Hybrid 45 Small Car Conventional 31 Midsize Car Hybrid 26 Midsize Car Conventional 24 Midsize Car Hybrid 31 Midsize Car Conventional 26 Small SUV Hybrid 27 Small SUV Conventional 21 Small SUV Hybrid 28 Small SUV Conventional 22 Midsize SUV Hybrid 23 Midsize SUV Conventional 19 Midsize SUV Hybrid 24 Midsize SUV Conventional 18Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2), which contributes to global warming. The CO2 emissions (metric tons per capita) for countries varies from 0.02 in Burundi to 44.02 in Qatar. Although the data set includes 214 countries, the CO2 emissions of 15 countries are not available on the World Bank database. The data set is too large to display but the data for the first five countries is given. Use the full data set with data on the 214 countries to answer the questions. To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt! Country CO2 Emissions (Metric Tons per Capita) Aruba 23.92 Andorra 5.97 Afghanistan 0.43 Angola 1.35 Albania 1.61 Find the mean and the median for the full data set. Round your answers to three decimal places. The mean for these data is tons per person The median for these data is tons per person
- Given a set of three data points {(0, 1), (2,5), (4, 17)}. Determine Newton's interpolation polynomial of degree 2 which passes through these points.Determine the original set of data: 1 | 0 1 4 2 | 1 4 4 7 9 3 | 3 5 5 5 7 7 8 4 | 0 0 1 2 6 6 8 9 9 5 | 3 3 5 8 6 | 1 2Sickle-cell anemia is an inherited disease in which red blood cells are misshapen and sticky. Sickle cells tend to form clumps in blood vessels, inhibiting the flow of blood. Humans have two genes for sickle-cell anemia, either of which may be S for normal cells or s for sickle cells. A person with two copies of the s gene will have sickle-cell anemia. A person with one s gene and one S gene will not have the disease, but will be a carrier, which means that the s gene may be transmitted to the person’s offspring. If two carriers have a child, the probability is 0.25 that the child will have the disease and 0.5 that the child will be a carrier. Outcomes among children are independent. a) A mother and father who are both carriers have two children. What is the probability that neither child has the disease? b) What is the probability that both children are carriers? c) If neither child has the disease, what is the probability that both are carriers? d) A woman who is the child of two…
- A statistical program is recommended. An automobile dealer conducted test to determine whether the time needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data (time in minutes) obtained follow. x₂ Analyzer 0 Computerized Electronic Define all variables. Let x₁ = 0 if a computerized analyzer is used, or let x₁ = X3 O Ho: B₁ * 0 H₂: B₁ = 0 0 Compact 1 52 Car 41 Compact Intermediate Full Size Intermediate O Ho: One or more of the parameters is not equal to zero. H₁: B₂ =B3 = 0 Car 57 Find the p-value. (Round your answer to three decimal places.) p-value = 43 Use α = 0.05 to test for any significant differences between the two analyzers. State the null and alternative hypotheses. O Ho: B₁ = 0 H₂: B₁ = 0 Full Size o Ho: Ba = By = 0 H₂: One or more of the parameters is not…A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y 5 1 if the project was successfully completed in the allocated time and y 5 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completing the task. b. Compute the probability of successfully completing the task for an engineer havingA researcher thinks some social media sites are more prone to narcissistic behavior (excessive posting) than others. To examine the relationship between narcissism and social media, she recruits users of three different social media sites (Facebook, Twitter and Instagram), follows them for 24 hours and records the number of posts made by each user. The number of posts is given in the table below. Twitter Facebook Instagram 10 7 14 10 8. 10 10 10 11 9. www. 12 wwww. 11 13 12 8. 7 8. 11 8 10 12 11 11 a. Perform a complete hypothesis test to determine whether there are any significant differences among the three groups. Test at the .05 level of significance. SHOW ALL YOUR WORK b. Do you need to perform post hocs? Explain but do not compute the post hocs. C. Compute effect size. d. Summarize your findings in a source table. e. Write an interpretation of our results in APA-format (include means and SDs in your interpretation)
- Suppose a special type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. ky4(1-y)³, 0The following data are for the throughput, as measured by the number of wafer lots produced per day by different operators (A, B, C, and D) on different machines (each operator used each machine on two different days): Eighty-four working days were needed to collect the data. The numbers in parentheses refer to the days on which the results were obtained. For example, on the first day, operator A produced 17 lots using machine 2, and on the 84th day, operator A produced 18 lots using machine 5. On some days (such as the third day), more than one item of data was collected, and on other days (such as day 40), no data was collected. Analyze the data, stating all assumptions and conclusions.Set A: n = 5; x = 10Set B: n = 50; x = 10(a) Suppose the number 32 is included as an additional data value in Set A. Compute x for the new data set. To compute x for the new data set, add 32 to x of the original data set and divide by 6. (Round your answer to two decimal places.) b.) Suppose the number 32 is included as an additional data value in Set B. Compute x for the new data set. (Round your answer to two decimal places.)SEE MORE QUESTIONS