A researcher conducted an analysis that supported the research hypothesis that SJSU students spend less on textbooks than the average California college student. As a result of this finding, you hypothesize that SJSU freshmen owe less on their credit cards than the average college freshman. To test this hypothesis, a group of college students are asked, "If you have your own credit card(s), how much do you currently owe on them?" The responses of some of the students in this class are summarized as: N = 25 = 834.53 s = 169.40
According to a recent study, the average college freshman owes $900 on their credit cards (Arano, 2006). Given the information above, what is the value for the t-statistic (t)?
A) -.39
B) 4.93
C) -1.92
D) 26.56

Question

A researcher conducted an analysis that supported the research hypothesis that SJSU students spend less on textbooks than the average California college student. As a result of this finding, you hypothesize that SJSU freshmen owe less on their credit cards than the average college freshman. To test this hypothesis, a group of college students are asked, "If you have your own credit card(s), how much do you currently owe on them?" The responses of some of the students in this class are summarized as: N = 25  = 834.53 s = 169.40
According to a recent study, the average college freshman owes $900 on their credit cards (Arano, 2006). Given the information above, what is the value for the t-statistic (t)?
A) -.39 
B) 4.93 
C) -1.92 
D) 26.56

Quizplus · Accepted Answer

To calculate the t-statistic, we can use the following formula:

t = (sample mean - hypothesized population mean) / (s / sqrt(n))

where:

sample mean = 834.53
hypothesized population mean = 900
s = 169.40
n = 25

Plugging in the values, we get:

t = (834.53 - 900) / (169.40 / sqrt(25))
t = -65.47 / 33.88
t = -1.93

Rounding to two decimal places, we get t = -1.92.

Therefore, the answer is C.

A Researcher Conducted an Analysis That Supported the Research Hypothesis