Use the following table to determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies. The p-value is ______.
A) 0.036
B) 0.0336
C) 0.4664
D) 2.58

Question

Use the following table to determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies.  The p-value is ______.
A) 0.036 
B) 0.0336 
C) 0.4664 
D) 2.58

Quizplus · Accepted Answer

To determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies, we need to run a two-sample t-test. Looking at the table, we can see that the sample sizes for both companies are fairly large (n1 = 50 and n2 = 60) and the variances are unequal (s1^2 = 0.61 and s2^2 = 0.38), which means we need to use the Welch's t-test.

When we run the Welch's t-test, we get a t-statistic of -2.34 and a two-tailed p-value of 0.0336 (using a significance level of 0.05). Since this p-value is less than our significance level, we can reject the null hypothesis that the average hourly wages are equal and conclude that there is a significant difference between the two manufacturing companies' average hourly wages.

Therefore, the answer is B, and the p-value is 0.0336.

Use the Following Table to Determine Whether or Not There