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Reflection 4

Welch Two Sample t-test

data:  donations1857 and donations1854

t = -1.4185, df = 99.361, p-value = 0.1592

alternative hypothesis: true difference in means is not equal to 0

95 percent confidence interval:

 -19.667416   3.269478

sample estimates:

mean of x mean of y 

 12.96986  21.16883 

This is a comparison of the donation amounts received by Bates College in the years 1857 and 1854. The donation amounts from each year are taken from the full set of data and compared to each other. An independent samples t-test was conducted to check the difference between donation amounts in 1857 and donation amounts in the year 1854, t(99.36) = -1.42, p-value = 0.16. No significant difference not occurring by chance was found with the alpha = .01 and donations1857 M = 12.97 and donations1854 M = 21.17. The independent samples t-test we completed tells us how likely it is that the relationship we see between donations from those two years occurred by chance. The results from this test show no significant difference between the donations from those two years which we know by the higher p-value of the test output. 

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