Target: To check if the assumed σ^{2}_{0} is statistically correct, based on a sample varaince S^{2}
Example1: A farmer calculated last year the varaince of the apples' weight in his apple orchard σ^{2}_{0} equals 2 kg^{2}, based on big sample
Current year he checked a small sample of apples and the sample varaince S^{2} equals 3 kg^{2}
Was the variance of the apple's weight changed this year?
The population's distribution is Normal | |
You assume you know the population variance ( σ^{2}=σ^{2}_{0}) |
Sample variance of the population | |
Sample size of the population |
Enter input data and then press "Calculate test" button to get the results
H_{0}: σ^{2} ≥ σ^{2}_{0} | H_{0}: σ^{2} = σ^{2}_{0} | H_{0}: σ^{2} ≤ σ^{2}_{0} | |
H_{1}: σ^{2} < σ^{2}_{0} | H_{1}: σ^{2} ≠ σ^{2}_{0} | H_{1}: σ^{2} > σ^{2}_{0} | |
If you enter raw data, the tool will run the Shapiro-Wilk normality test and calculate outliers, as part of the test calculation.
Header:
You may change groups' name to the real names.
Data:
When entering data, press Enter after each value
You may copy data from Excel, Google sheets or any tool that separate data with Tab and Line Feed.
Copy the data, one column includes the header, and paste below.
n: | Sample size | |
σ_{0}: | Standard deviation | |
S: | Sample Standard deviation | |
skewness: | ||
Normality pval: | Shapiro Wilk test | |
Outliers | count: ,based on the Tukey's fences method, k=1.5 |