Aresearch firm wants to determine whether there’s a difference in married couples between what the husband earns and what the wife earns. the firm takesa random sample of married couples and measures the annual salary of each husband and wife. what procedure should the firm use to analyze the data for the mean difference in salary within married couples?

a)one-sample t procedure, matched pair
b)two-sample t procedure
c)one-sample z procedure, matched pair
d)two-sample z procedure
e)not enough information to determine which procedure should be used.

Two sample t procedure

Step-by-step explanation:

The reason for using the two sample t procedure is that it is mention in the statement that the firm takes a random sample of married couples and measure their annual salary and standard deviations are unknown and they are estimated by using the collected sample of data. Also there are two population in the data. Population one is the annual salary of husband and population two is the annual salary of wife and these are compared using two sample t procedure.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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