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fiasKO [112]
3 years ago
15

Find the solution set for the following equation.

"-\sqrt(x)=5" alt="-\sqrt(x)=5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

Solution set = {25}

Step-by-step explanation:

=> -\sqrt{x} =5

Dividing both sides by -1

=> \sqrt{x} = -5

Taking square on both sides

=> x = 25

<em><u>Solution set = {25}</u></em>

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A manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hour
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Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it <u>can be concluded that the new booklet is effective</u>.

At the null hypothesis, we <u>test if there has been no improvement</u>, that is, the time is still of 3 hours. Hence:

H_0: \mu = 3

At the alternative hypothesis, we <u>test if there has been improvement</u>, that is, the time is of less than 3 hours. Thus:

H_1: \mu < 3

We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

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In this problem, the values of the parameters are: \mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15.

Then, the value of the test statistic is:

z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}

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Since the p-value of the test is of 0.0262 < 0.05, it <u>can be concluded that the new booklet is effective</u>.

A similar problem is given at brainly.com/question/25413422

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