Use the following table to determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies. What is the test statistic for the difference between the means?
A)15
B)0.4
C)0.8
D)1.83

Question

Use the following table to determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies.  What is the test statistic for the difference between the means?
A)15 
B)0.4 
C)0.8 
D)1.83

Quizplus · Accepted Answer

The test statistic for the difference between the means is calculated using the formula:
t = (x1 - x2) / (s1^2/n1 + s2^2/n2)^0.5
Using the values given in the table, we get:
t = (14.38 - 12.55) / (2.36^2/100 + 2.51^2/80)^0.5
t = 1.83
Therefore, the test statistic for the difference between the means is 1.83. The best choice is D.

Use the Following Table to Determine Whether or Not There