beta (Constant) 260 45 X₁ X₂ X₁X2 std error 134.308 6.427 -533.428 32.927 8.315 184.735 It p-value 95% CI for B Lower bound Upper bound You are to test to determine if the interaction term is significant. Compute the test statistic. The management of a large firm would like to know something about employee morale and the other variables to which it may be related. To study these relationships, each employee in a simple random sample of 27 employees is interviewed and tested to obtain information concerning morale level and the average number of satisfying extra work social contacts experienced during a week. Whether or not the duties the employee usually performs are appropriate to the job title is also determined. The dependent variable Y is measure of morale, the quantitative independent variable, X1 is average number of social contacts, and the following dummy variable coding is used to quantify the qualitative variable: X₂ = 1 if yes, X₂ = 0 if no. The model including dummy variable and the interaction term was being estimated and a part of computer outputs is below:

Find the coefficient of x2y3z3 in the expansion of(x + y + z)8.

5.

A large milling machine produces steel rods to certain specifications. The machine is considered to be running normally if the standard deviation of the diameter of the rods is at most 0.42 millimeters. The line supervisor needs to test the machine is for normal functionality. The quality inspector takes a sample of 45 rods and finds that the sample standard deviation is 0.49. What is the test statistic? Select one: а. 59.89 b. 48.63 с. 50.50 d. 52.45