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3 years ago

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A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pre-

test and a post test on the material. The scores are out of 20. Has there been improvement? (pre-post) What is the point estimate of the population mean difference between the pre and post test?

1 answer:

belka [17]3 years ago

6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is

Step-by-step explanation:

From the question we told that

The test statistics is $t = 0.72$

The number of student is n = 5

The degree of freedom can be mathematically evaluated as

$D = n- 1$

=> $D = 5- 1 = 4$

The p-value is mathematically evaluated as

$p-value = p(T \le - |-0.72|)$

using the z table(shown in second and third image ) we obtain that

$p-value = 0.2557$

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Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

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Step-by-step explanation:

We will use the distance formula to solve.

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<em>Read more about using the </em><em>distance formula</em><em> here: brainly.com/question/15691280</em>

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