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3 years ago

Help fast 15 points need help fast

Mathematics

2 answers:

inessss [21]3 years ago

8 0

Answer:its -10 and 10 that is marked

Step-by-step explanation:

rosijanka [135]3 years ago

6 0

Answer:

<u>#2: </u>-10, 10

-10 < 10

Negative Ten is less than Positive Ten

<u>#3: </u>-12<-7

<u>#4: </u>10>-3

Step-by-step explanation:

<u>#2: </u>There is a green mark on -10 and 10

-10 has a lower value than 10, so 10 is greater than -10

The inequality above would be written in word format

<u>#3: </u>-12 is lower in value then -7, so -12 would be less than -7

<u>#4: </u>10 has a higher value than -3, so 10 is greater than -3

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GalinKa [24]

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

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

<h3>What are the hypothesis tested?</h3>

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:

$H_1: \mu \neq 0$

<h3>What is the test statistic?</h3>

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

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