Hypothesis Test

**Apprentice123** · Oct 4th 2010, 03:38 PM

It is assumed that the life of the bulbs is normally distributed test the null hypothesis that the samples were obtained from populations with equal variance, considering $\alpha = 10$ %, considering the following information:
$n_1 = 10$ $n_2=8$
$S_1 = 200$ $S_2=62500$

**pickslides** · Oct 4th 2010, 04:39 PM

You need to test that there is no difference in mean bulb life between the 2 populations

$H_0: \mu_1 = \mu_2$

$H_a: \mu_1 \neq \mu_2$

Now use a t-test for difference in means.

Are you firmiliar with this test?

**Apprentice123** · Oct 5th 2010, 05:14 AM

Originally Posted by pickslides

You need to test that there is no difference in mean bulb life between the 2 populations

$H_0: \mu_1 = \mu_2$

$H_a: \mu_1 \neq \mu_2$

Now use a t-test for difference in means.

Are you firmiliar with this test?

Yes. Thank you

**CaptainBlack** · Oct 5th 2010, 05:29 AM

Originally Posted by Apprentice123

It is assumed that the life of the bulbs is normally distributed test the null hypothesis that the samples were obtained from populations with equal variance, considering $\alpha = 10$ %, considering the following information:
$n_1 = 10$ $n_2=8$
$S_1 = 200$ $S_2=62500$

You are testing the variances for equality so you should use the variance ratio or F-test.

CB

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