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3 years ago

ASSESSMENT

Mathematics

1 answer:

Kobotan [32]3 years ago

7 0

Answer:

1. 200

2. 78

3. 50%

4. 20%

5. 14.52

6. 72

7. 30

8. 27

9. 50%

10. 20%

I hope this helps:D

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Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

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Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

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$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

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This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

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$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

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Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

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By comparison:

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So, we fail to reject the null hypothesis.

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