Asked by Akilah Walcott on May 03, 2024
Verified
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
SJSU Freshmen
A specific group of first-year students at San Jose State University.
Average College Freshman
A hypothetical or statistical representation of an incoming college student based on average attributes or characteristics.
- Calculate and interpret the value of a t-statistic in hypothesis testing.
Verified Answer
SS
Shreelaxmi SahooMay 10, 2024
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 = 834.53
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.
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.
Learning Objectives
- Calculate and interpret the value of a t-statistic in hypothesis testing.
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