Hypothesis Testing (T Test)


The t test is to be applied if the sample size is small AND the population variance is unknown.

Exercises for students
Solve the following problems on paper and check your working using the above applet:

Given sample size = 10, Σx = 600, Σ² = 40 000, test, at the 10% level, the hypothesis that the population mean = 50 against the alternative hypothesis that the pop. mean > 50.
Repeat at the 5% and 1% levels.
Test against the alternative hypothesis that pop. mean is not equal to 50.

A coffee vending machine has been set to dispense 200 cm³ of coffee into each cup.
A random sample of 3 cups was found to contain 201, 202 and 203 cm³ of coffee.
Test, at the 5% level, whether the machine is dispensing too much coffee.
Test, at the 5% level, whether the machine has been set correctly.



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Right-click here to download this page and the Java Class File.

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