Question
Run an appropriate t-test (assuming either equal or unequal variances based on your conclusion in 1c above) using an alpha level of 0.05 and answer
Run an appropriate t-test (assuming either equal or unequal variances based on your conclusion in 1c above) using an alpha level of 0.05 and answer the following questions:
a. Is this a one-tailed or two-tailed test? Provide an appropriate/authoritative explanation that fully explains the choice.
b. Based on the statistical output, would you conclude that means are equal or not equal? Provide an appropriate/authoritative explanation leveraging the statistical output.
c. Using everyday language that could be understood by parents and students, what does the analysis say about student debt in 2018 versus 2013? Provide an appropriate/authoritative explanation leveraging the statistical output (e.g., use confidence level, rationale, etc.)
t-Test: Two-Sample Assuming Equal Variances | ||
Variable 1 | Variable 2 | |
Mean | 3914.28 | 3773.54 |
Variance | 597942.8996 | 582060.0902 |
Observations | 50 | 50 |
Pooled Variance | 590001.4949 | |
Hypothesized Mean Difference | 0 | |
df | 98 | |
t Stat | 0.916138206 | |
P(T<=t) one-tail | 0.180921662 | |
t Critical one-tail | 1.660551217 | |
P(T<=t) two-tail | 0.361843325 | |
t Critical two-tail | 1.984467455 |
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