Al

Sep 22nd, 2003, 04:48 PM

In my quiz,

this is the question:

The maufacturer claims that the variance in working hours of workers is less than 0.9

And from a random sample size 5, we find that the variance of the sample is 1.1

Test the hypothesis at .05 level of significance.

I really would like to know how we should set up the hypothesis.

Choice 1

Null Hypothesis: variance = 0.9

Alternative Hypothesis : variance > 0.9

Choice 2

Null Hypothesis: variance = 0.9

Alternative Hypothesis : variance < 0.9

In some Thai texts, they just say that because the manufacturer's claim(less than 0.9) does not consist of equal so it can't be the null hypothesis(I mean they just want it to be "does not exceed" more than "less than" if ัyou want to set it to be the null hypothesis.

But I don't think like that I think the 0.9 is just a very small point in a continuous variable system, and we should give the credit to the manufacturer first and set it to be null hypothesis and then try to find enough evidence to reject it

Which one is the real issue? Just the "does not exceed" or " less than"

In the real world we should be able to say less than and it has all rights to be the null hypothesis...

Am I correct? Please help.

this is the question:

The maufacturer claims that the variance in working hours of workers is less than 0.9

And from a random sample size 5, we find that the variance of the sample is 1.1

Test the hypothesis at .05 level of significance.

I really would like to know how we should set up the hypothesis.

Choice 1

Null Hypothesis: variance = 0.9

Alternative Hypothesis : variance > 0.9

Choice 2

Null Hypothesis: variance = 0.9

Alternative Hypothesis : variance < 0.9

In some Thai texts, they just say that because the manufacturer's claim(less than 0.9) does not consist of equal so it can't be the null hypothesis(I mean they just want it to be "does not exceed" more than "less than" if ัyou want to set it to be the null hypothesis.

But I don't think like that I think the 0.9 is just a very small point in a continuous variable system, and we should give the credit to the manufacturer first and set it to be null hypothesis and then try to find enough evidence to reject it

Which one is the real issue? Just the "does not exceed" or " less than"

In the real world we should be able to say less than and it has all rights to be the null hypothesis...

Am I correct? Please help.