What is the t-statistic?
Small sample, normal distribution and you can compute standard deviation and mean, t statistics is used
For a large sample, Z statistics (Z score) has approximately a standard normal distribution. When sample is small, the variability in the distribution of Z arises from randomness. This implies that the probability distribution will be more spread out than the standard normal distribution. When n is sample number and df=n-1, t score (t statistics) can be computed by
x¯ = sample mean
μ0 = hypothesized population mean
s= sample standard deviation
n= sample size