# Hypothesis Test

• Oct 4th 2010, 03:38 PM
Apprentice123
Hypothesis Test
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 $\displaystyle \alpha = 10$%, considering the following information:
$\displaystyle n_1 = 10$ $\displaystyle n_2=8$
$\displaystyle S_1 = 200$ $\displaystyle S_2=62500$
• Oct 4th 2010, 04:39 PM
pickslides
You need to test that there is no difference in mean bulb life between the 2 populations

$\displaystyle H_0: \mu_1 = \mu_2$

$\displaystyle H_a: \mu_1 \neq \mu_2$

Now use a t-test for difference in means.

Are you firmiliar with this test?
• Oct 5th 2010, 05:14 AM
Apprentice123
Quote:

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

$\displaystyle H_0: \mu_1 = \mu_2$

$\displaystyle H_a: \mu_1 \neq \mu_2$

Now use a t-test for difference in means.

Are you firmiliar with this test?

Yes. Thank you
• Oct 5th 2010, 05:29 AM
CaptainBlack
Quote:

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 $\displaystyle \alpha = 10$%, considering the following information:
$\displaystyle n_1 = 10$ $\displaystyle n_2=8$
$\displaystyle S_1 = 200$ $\displaystyle S_2=62500$

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

CB