Question

Testing ONE mean versus a claim (z or t)
Testing TWO means head to head (t)

1. What if we want to test MORE than TWO means?
2. What are the null hypotheses for each?  
3. How do the null hypotheses change for ANOVA?

Answer 1

1). if we want to test MORE than TWO means then we will have to perform ANOVA test..

2).for Testing ONE mean versus a claim (z or t) our null hypothesis be:

where M is the hypothesized mean.

is the true population mean.

Testing TWO means head to head (t) our null hypothesis be:-

or ,

where , is the true population mean of the first sample

is the true population mean of the second sample

3. the null hypotheses change for ANOVA in the following way:-

let we want to testing the means of n groups.

then our null hypothesis be:-

where, are the true population mean of the i th sample. i= 1,2,....,n

here,we see that in ANOVA the basic difference is we can compare the true mean of more than 2 samples at a time.we can say that it generalizes the t -test to more than two groups.

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