The t-statistic for the sample mean is t = frac(bar(x) - mu)(s) How is the sample estimate of the standard error computed in this context? In particular, does it make use of the population mean or the sample mean?

gaby131o 2022-09-25 Answered
The t-statistic for the sample mean is
t = x ¯ μ s
How is the sample estimate of the standard error computed in this context? In particular, does it make use of the population mean or the sample mean?
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Answers (1)

vyhlodatis
Answered 2022-09-26 Author has 14 answers
When you go for t statistic, it is assume that you do not know the population standard deviation.
The sample standard deviation is calculated like this:
s = 1 n ( x i x ¯ ) 2 n 1
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