The single normal population variance is known to make a hypothesis test for the mean


1,Enter a known standard deviation in the following input box (you can also enter the standard deviation with the known variance after the letter q) :
2,Input each sample value or sample size plus calculated sample mean:
Enter each sample value Enter the sample capacity and the average value of the sample.
Enter the sample values in the following multi-line input box separated by commas or blank characters
3,Select the significance level α:
0.1 0.05 0.025 0.01 0.005 0.001
4,Set the hypothesis option (original hypothesis is H0,alternative hypothesis is H1):
H0:μ=μ0, H1:μ≠μ0
H0:μ≤μ0, H1:μ>μ0
H0:μ≥μ0, H1:μ<μ0
Enter μ0 in the input box,μ0
5,Click the "Start Inspection" button on the right to start the inspection.

It is known that the overall X obeys a normal distribution with a mean of μ, a standard deviation of σ, and a variance of σ2, ie X~ N(μ,σ2),          This page deals with the case where the variance or standard deviation is known to make a hypothesis test on the mean. The test statistic is

 

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