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Annette [7]
3 years ago
12

Use Pythagorean theorem

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

15

Step-by-step explanation:

a^2+b^2=c^2

y^2+8^2=17^2

Step 1: Simplify both sides of the equation.

y^2+64=289

Step 2: Subtract 64 from both sides.

y^2+64−64=289−64

y^2=225

Step 3: Take square root.  

y=15  

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A random sample of 87 eighth grade students’ scores on a national mathematics assessment
Finger [1]

There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

<h3>What is a statistical hypothesis?</h3>

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

\mathbf{H_o \leq 283}

The alternative hypothesis:

\mathbf{H_i > 283}

From the population deviation, the Z test for the true mean can be computed as:

\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}

\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

Learn more about hypothesis testing here:
brainly.com/question/16251072

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