Suppose that you are using a 9-point rating scale to compare men who have an annual income over $50,000 (Group 1)with men who have an annual income less than or equal to $50,000 (Group 2)with regard to their assessment of a new product.There are forty men in Group 1 and they have a mean of 7 and a standard deviation of 2.5,while the 35 men in Group 2 have a mean of 5 and a standard deviation of 1.4.What is the approximate value of t using the t-test?
A)3.43
B)4.19
C)5.64
D)There is not enough information to determine this.

Question

Quizplus · Accepted Answer

To calculate the t-value, we use the formula:
t = (mean1 - mean2) / [sqrt((s1^2/n1)+(s2^2/n2))]
where mean1 = 7, mean2 = 5, s1 = 2.5, s2 = 1.4, n1 = 40, and n2 = 35.
Plugging in these values, we get:
t = (7-5) / [sqrt((2.5^2/40)+(1.4^2/35))] = 4.19
Therefore, the approximate value of t using the t-test is 4.19, and the best choice is B.

Suppose That You Are Using a 9-Point Rating Scale to Compare