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

Shreelaxmi Sahoo · Accepted Answer

Final Answer : C, Explanation :  To calculate the t-statistic, we can use the following formula:t = (sample mean - hypothesized population mean) / (s / sqrt(n))where:sample mean = 834.53hypothesized population mean = 900s = 169.40n = 25Plugging in the values, we get:t = (834.53 - 900) / (169.40 / sqrt(25))t = -65.47 / 33.88t = -1.93Rounding to two decimal places, we get t = -1.92.Therefore, the answer is C.

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