Question 1

Factor B: Emotion Positive Negative 14 5 Task 13 Factor A: Context 13 Socioemotional 11 13 16 19Suppose a company surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials. In one question, individuals were asked if they would leave their current job to make more money at another job. The sample data are summarized in the following table. Leave Job for Generation More Money? Baby Boomer Generation X Millennial Yes 124 155 166 No 202 186 173 Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. State the null and alternative hypotheses. O Ho: Interest in leaving job for more money is independent of the employee generation. Ha: Interest in leaving job for more money is not independent of the employee generation. O Ho: Interest in leaving job for more money is not independent of the employee generation. H, : Interest in leaving job for more money is independent of the employee generation. O Hot Interest in leaving job for more money is not mutually exclusive of the employee generation. H : Interest in leaving job for more money is mutually exclusive of the employee generation. O Ho: Interest in leaving job for more money is mutually exclusive of the employee generation. Ha: Interest in leaving job for more money is not mutually exclusive of the employee generation. Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Using a 0.05 level of significance, what is your conclusion? O Do not reject Ho. We conclude that interest in leaving a job for more money is not independent of the employee generation. O Reject Ho. We cannot conclude that interest in leaving a job for more money is independent of the employee generation. Do not reject Ho. We cannot conclude that interest in leaving a job for more money is independent of the employee generation. O Reject Ho. We conclude that interest in leaving a job for more money is not independent of the employee generation.Let X1, X2, X3 be random variables each having a mean u and variance o'. Further, Cov(X1, X2) = 2, Cov(X1, X3) = 3 and Cov(X2, Xa) = 1 Define U = 2X1 - X2 + 4 X's Solve for the mean and standard deviation of U.Fill in the P (X' = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are - 5, -4. -3, 4, and 6. Value x of X P ( X = x) -5 0.10 4 0.16 6 0.26 X ?Given the 2 x 2 correlation matrix R = 1.0 0.9 compute the eigenvalues and the eigenvectors of R. 0.9 1.0