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3 years ago

Solve -2(x - 4) - 7 > - 6

1 answer:

4 0

$-2(x - 4) - 7 \ \textgreater \ - 6\\
-2x+8-7\ \textgreater \ -6\\
-2x +1\ \textgreater \ -6\\
-2x\ \textgreater \ -7\\
x\ \textless \ \frac{7}{2}$

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Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:

$H_0: \mu \leq 0.7$

At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:

$H_1: \mu > 0.7$

The test statistic is:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7$

A survey of 35 people was conducted to compare their self-reported height to their actual height.

This means that $n = 35$

From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that $X = 0.95, s = 0.44$

Calculate the test statistic

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

$t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}$

$t = 3.36$

The test statistic is t = 3.36.

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