Question

Assume that both populations are normally distributed. a) Test whether $\mu_1 \neq \mu_2$ at the $\alpha = 0.05$ level of significance for the given sample data. b) Construct a 95% confidence interval about $\mu_1 - \mu_2$. Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. $\circ$ A. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 > \mu_2$ $\circ$ B. $H_0: \mu_1 \neq \mu_2$; $H_1: \mu_1 = \mu_2$ $\circ$ C. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 \neq \mu_2$ $\circ$ D. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 < \mu_2$

          Assume that both populations are normally distributed.
a) Test whether $\mu_1 \neq \mu_2$ at the $\alpha = 0.05$ level of significance for the given sample data.
b) Construct a 95% confidence interval about $\mu_1 - \mu_2$.
Click the icon to view the Student t-distribution table.
a) Perform a hypothesis test. Determine the null and alternative hypotheses.
$\circ$ A. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 > \mu_2$
$\circ$ B. $H_0: \mu_1 \neq \mu_2$; $H_1: \mu_1 = \mu_2$
$\circ$ C. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 \neq \mu_2$
$\circ$ D. $H_0: \mu_1 = \mu_2$; $H_1: \mu_1 < \mu_2$

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$Assume that both populations are normally distributed. a) Test whether μ1 ≠μ2 at the α = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about $\mu1 - \mu2$. Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. ∘ A. H0: μ1 = μ2; H1: μ1 > μ2 ∘ B. H0: μ1 ≠μ2; H1: μ1 = μ2 ∘ C. H0: μ1 = μ2; H1: μ1 ≠μ2 ∘ D. H0: μ1 = μ2; H1: μ1 < μ2$

Added by Jennifer P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Can you help me with both A and B, please? Sample 1: 20 = 12.2 + 3.2 Sample 2: 20 = 14.4 + 4.1 b) Construct a 95% confidence interval about âˆš2. Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. OA: H = 2 OB: H > 2 OC: H > 2 OD: Ho = 2

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Transcript

00:01 So we will be assuming that the mean for one is equal to the mean for two, and alternately that the first mean is larger than the second mean.

00:10 Now, the only thing i have a question on is you say the variance, and i don't know if these are variances or standard deviation, because variance would be sigma squared, and you have that the standard deviation of the first is 10, and that the standard deviation of the second is 5.

00:27 And then you have the sample size, and let me just double check, make sure that was five and not 15.

00:33 Yep, five.

00:35 And then you have the sample size here is 10, and the sample size here is 15.

00:42 And the x bar for this first sample is 24 .5.

00:47 And the x bar for the second one is 21 .3.

00:51 So i would assume that this is the standard deviation as opposed to the variance.

00:57 So this will be a two sample z test.

01:01 This can actually be entered into your calculator that way.

01:04 And but i'll show the calculations.

01:07 So the z value, oh, and by the way we're using an alpha level of 0 .01.

01:13 And the z value is going to be to take the difference between the two means and then divided by.

01:21 And again, assuming this is a standard deviation, i'm going to say 10 squared over the sample.

01:28 Size, which is 10, plus 5 squared over the sample size, which is 15.

01:34 And then i'll redo this with the other.

01:36 So it's going to depend on which way yours is set up.

01:40 And we are doing a greater than test, and we find out that that test statistic comes out to be 0 .9369...

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