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Target: To check if the assumed μ0 is statistically correct, based on a sample average
Example1: A farmer calculated last year the average of the apples' weight in his apple orchard μ0 equals 17 kg, based on big sample
Current year he checked a small sample of apples and the sample average x equals 18 kg
Was the average of the apple's weight changed this year?
|The standard deviations of the population is known|
|Population expected mean is known|
The following R code should produce the same results:
Currently, there is no direct R function for the one-sample z test.
1. Two-tailed test
A farmer calculated last year the average of the apples' weight in his apple orchard μ0 equals 17kg, based on a big sample.
The current year the sample average x̅ equals 16kg.
Was the average of the apple's weight in the entire orchard changed this year? or is it just a random difference?
2. Left tail test.
In the same example as above, the farmer only cares if the entire average is lesser this year.