Consider the null hypothesis Ho : Data follows mixture model pN(41,1) + (1 – p) N (42, 4) vs H1 : Null hypothesis is not true. Find the degrees of freedom of a chi-square test for the above hypothesis with sample size n = 152 and number of groups k = 10. (answer should be a positive integer, error range: 0.005)
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- Can we please run a paired samples t-test for this problem? Can I see the data output?True or False: Explain Suppose that OLS is unbiased for the following bivariate model: Y = B0 +B1X +u and suppose that the true slope coefficient B1 = 7. If you use the standard t-statistic to test the null hypothesis that the slope coefficient is equal to 0, the probability that you will reject the null hypothesis will increase if you reduce your sample size.What conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations?
- The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given in the picture below. State the null and alternative hypothesis for single factor ANOVA. State the decision rule (α = 0.05). Calculate the test statistic. Make a decision.A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use α = .05 and the five-step model to conduct your hypothesis test. Write a sentence or two interpreting your results. Working Class: 10,9,4,2,1 Middle Class: 11,10,5,2,0 Upper Class: 7,5,2,0,0Faculty assumed that two populations have ENTIRELY UNKNOWN VARIANCES, (01)² and (02)². Samples of size ni = n2 = n = 10 were collected and summarized, with summaries presented in the table shown on page 2. The objective is to draw conclusions about µ = µ1 – µ2, the difference of two population means. At the significance level, a = 0.05, do you have evidence that the graduates had a higher population average grade than undergrads? 1. Show critical value with indication of the source you got it 2. State rejection rule 3. Evaluate the test statistic and formulate your decision