TESTS OF HYPOTHESIS: Class survey data was entered into STATISTIX and the goal w

Question

TESTS OF HYPOTHESIS: Class survey data was entered into STATISTIX and the goal was to conduct a test to determine if the average student loan debt of all students exceeds $7,500. Unfortunately I created the wrong printout in Statistix below. One-Sample T Test Null Hypothesis: = 7500 Alternative Hyp: 7500 Variable Mean SE T DF P Debt 10750 1831.6 1.77 67 0.0805 Cases Included 68 In addition to needing a random sample, what other assumption is necessary for the interval to be valid? A. The sample of student loan debt amounts needs to be approximately normally distributed. B. The sampling distribution of x-bar needs to be a t-distribution with (n-1) DF. C. The population of student loan debt amounts need to be approximately normally distributed. D. No other assumptions are needed.

Explanation / Answer

Null Hypothesis: = 7500 Alternative Hyp: > 7500

t test statistic = [10750-7500]/1831.6 = 1.77

Degree of freedom =n-1 = 67

option C) is correct.

C. The population of student loan debt amounts need to be approximately normally distributed.

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