SA 10 – (10 points) Show all work and label the steps for fu…

SA 10 – (10 points) Show all work and label the steps for full credit. This will be uploaded at the end of the exam. REWRITE the problem identifying which one it is. Find all the matrices for the singular value decomposition of A. Identify each part clearly.  A =

Use a χ2 test of Association to test the claim that in the g…

Use a χ2 test of Association to test the claim that in the given contingency table, the row variable and the column variable are independent.  Be sure to identify and include in your answer the following: the null hypothesis, alternative hypothesis, expected values, test statistic, rejection region, conclusion about the null hypothesis, and a final conclusion that addresses the original claim that the two variables are independent (no relationship).  Note: you can use the equation editor to insert symbols and you must show some work as to how the expected values were calculated – if no work is shown full credit will not be given – you can use the insert table function to insert your work). Speeding and State of Residence: A researcher wants to see if there is a relationship between speeding and states of residence on Interstate 20/59 near Livingston, AL at the α = 0.05 level of significance. These data were collected:   Mississippi Alabama Speeders (71 mph or more) 18 25 Non-speeders (70 mph or less) 27 15