Hypothesis testing of mean for single normal population variance unknown

发布时间 : 2025-12-17 01:41:48 UTC      

类别 : Electronic

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1,Input each sample value or sample size plus calculated sample mean and sample standard deviation:
Enter each sample value Input sample size, sample mean and sample standard deviation
Enter the sample values in the following multi-line input box separated by commas or blank characters
2,Select the significance level α
0.1 0.05 0.025 0.01 0.005 0.001
3,Set the hypothesis option (original hypothesis is H0,alternative hypothesis is H 1):
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
4,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 unknown and the hypothesis is tested. The test statistic is