Question

HELP ASAP, PLEASE!!!!

Answer 1

Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:

$t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}$

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference, that is:

$H_0: \mu = 0$

At the alternative hypothesis, it is tested if there is a difference, that is:

$H_1: \mu \neq 0$

What is the test statistic?

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

• $\overline{x}$ is the sample mean.

• $\mu$ is the value tested at the null hypothesis.

• s is the standard deviation of the sample.

• n is the sample size.

In this problem, $\mu = 0$ is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:

$\overline{x} = -20, s = \sqrt{32.66}, n = 7$.

Hence, the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}$

$t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}$

More can be learned about the t-distribution at brainly.com/question/16313918