# Student's t-statistic

## Student's t-statistic

[′stüd·əns ′tē stə‚tis·tik]
(statistics)
A one-sample test statistic computed by T = √ n (- μH )/ S, where is the mean of a collection of n observations, S is the square root of the mean square deviation, and μH is the hypothesized mean.
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The null-hypothesis of whether the difference in these portfolios' mean returns is significantly different from zero, is tested by employing the following Student's t-statistic:
For example, it is a trial statistical analysis to calculate Student's t-statistic (t) expressed (1) for question Q#1, namely "to perform operation through DaaS environment".
So we can obtain the following values for two-sided 5% point ([alpha]=0.025) from Statistical Tables of Student's t-statistic distribution, namely, [t.sub.[alpha]=0:025] (13) = 2.160, where a is significance level of probability.
In order to make assurance double sure, we have tied to apply the result of question Q#5 with calculation of Student's t-statistic (t) as follows;
Just the same as above, target expectation: p is assumed to be 3:00, the value of Student's t-statistic can be calculated as the above expression (4).

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