Answer:
The general t statistic can be written as t = (x - μ) / (s / √n).
Explanation:
The general t statistic can be written as
t = (x - μ) / (s / √n)
where:
x is the sample mean
μ is the population mean
s is the sample standard deviation
n is the sample size
The t statistic is used to test the hypothesis that the population mean is equal to a specific value.
The t statistic is calculated by taking the difference between the sample mean and the hypothesized population mean, and then dividing this difference by the standard error of the mean.
The standard error of the mean is a measure of the variability of the sample mean, and it is calculated by dividing the sample standard deviation by the square root of the sample size.
The t statistic is a normally distributed random variable with degrees of freedom equal to n - 1.
The degrees of freedom are a measure of the number of independent observations in the sample.
The p-value is the probability of obtaining a t statistic as extreme or more extreme than the observed t statistic, assuming that the null hypothesis is true.
The smaller the p-value, the stronger the evidence against the null hypothesis.
Thus, the general t statistic can be written as t = (x - μ) / (s / √n).