Discuss the difference between Z, t and F statistics in test of hypothesis. Which one would...

Discuss the difference between Z, t and F statistics in test of hypothesis. Which one would be more useful to you and your organization

Expert Solution

Z-test:

A Z test is used for testing the mean of a population versus a standard, or comparing the means of two populations, with large (n>30) samples whether we know the population standard deviation or not. It is also used for testing the proportion of some characteristic versus a standard proportion, or comparing the proportions of two populations.

Example: Comparing the fraction defectives from 2 production lines.

t-test:

A t test is used for testing the mean of one population against a standard, or comparing the means of two populations if we do not know the populations' standard deviations and when we have a limited sample (n<30). If we know the populations'standard deviation, we may use z test.

Example: Measuring the average diameter of shafts from a certain machine when we have a small sample.

F-test:

An F test is used to compare 2 populations' variances. The sample can be any size. It is the basis of ANOVA.

Example: Comparing the variability of bolt diameters from two machines.

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orchestra answered 1 year ago

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