P (Br IAj) = 0.1 at %3D P(BIIAS) = 0.8 P(Aol = 0, u PIAPI= 0,5 PLA21= 0,1 PIBIl=? PIB2)=7 %3D PIROI = ? %3D PIAIIR21=? PIP2 IRo) = ? PLAn IBI1=7, PIAIIBI =? %3D
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- In which situation cointegration test can be performed? Write down its null Also, refer the given table and interpret the results?A commonly cited study says that 49% of students study less than 5 hours per week. A researcher does not think this is accurate and wants to show that the percentage of students that study less than 5 hours per week is not equal to 49%. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p.The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed…
- The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. LOADING... Click the icon to view the data table.Specimen Steel ball Diamond1 50 522 57 563 61 614 71 745 68 696 54 567 65 688 51 519 53 56 Construct a 95% confidence interval to…Can you please solve question 2 and 3 with LHospital's Rule?Phil wanted to know if mothers give more hugs to their children than fathers do. He used 8 married couples so that each mother and father would be matched on the number of children for his sample. Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks. Assume the parametric assumptions were NOT violated. Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed Pair Mother Hugs (X1) R1 X12 Father Hugs (X2) R2 X22 D Ranks D2 + - 1 14 196 14 196 0 0 2 10 100 8 64 2 4 3 10 100 15 225 -5 25 4 8 64 7 49 1 1 5 6 36 9 81 -3 9 6 3 9 9 81 -6 36 7 17 289 20 400 -3…
- 8) Use Lagrange multiplier to find the indicated extrema, assuming that x and y are positive.What is the purpose is skewness and kurtosisDr. Phil wanted to know if mothers give more hugs to their children than fathers do. He used 8 married couples so that each mother and father would be matched on the number of children for his sample. Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks. Assume the parametric assumptions were NOT violated. Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed
- Explain pth-order autoregressive model?What is the significance of R and R2 in gression model?Recently, the factory began a new production line that is more efficient than the existing production line. However, the factory still needs ball bearings to meet the same specifications. To compare the accuracy of the new process against the existing process, the factory decides to take two random samples of ball bearings. The first sample is of 50 randomly selected ball bearings from the existing production line, and the second sample is of 50 randomly selected ball bearings produced from the new production line. For each sample, the diameters of the ball bearings were measured. Suppose that the factory claims that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. At alpha=0.05, is there enough evidence that the two proportions are the same? Perform a hypothesis test for the difference between two population proportions to test this claim. Given: (data below was calculated…