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2 years ago

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The vestibule would be responsible for the dizziness a small boy feels when doing repetitive somersaults as well as detecting th

e giggles of friends watching him.
a) true
b) false

1 answer:

Marizza181 [45]2 years ago

4 0

True! I hope this is helpful!(:

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Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a sta

nika2105 [10]

The complete question is:

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following choices is <u>NOT</u> true?

Options:

A) The ACT score of 17.0 is relatively better than the SAT score of 1490

B) An SAT score of 1490 has a z score of -0.09

C) The SAT score of 1490 is relatively better than ACT score of 17.0

D) An ACT score of 17.0 has a z score of -0.85

<h2>Answer:</h2><h2 />

<em><u>C) The ACT score of 17.0 is relatively better than the SAT score of 1490:</u></em><em> </em><u>NOT true</u>

<h2>Explanation:</h2><h2></h2>

To compare scores on different scales or from different groups you need to use a normalized standardized statistic, like the z-score.

$z-score=(score-\mu)/\sigma$

Where $\mu$ is the mean of the sample, and $\sigma$ is the standard deviation.

<u>1. Find the z-core for an ACT score of 17.0 </u>

$z-score=(score-\mu)/\sigma\\ \\ z-score=(17.0-21.1)/4.8\\ \\ z-score=-0.85$

That means that the ACT score of 17.0 is 0.85 standard deviations below the meqan.

<u>2. Find the z-score for an SAT score of 1490</u>

$z-score=(score-\mu)/\sigma\\ \\ z-score=(1490-1518)/325\\ \\ z-score=-0.086\approx -0.09$

That means that the SAT score of 1490 is 0.09 standard deviations from the mean.

<u>3. Conlusion:</u>

Since the z-score of the SAT score of 1490 is greater than the z-score of the ACT of 17.0, the SAT score of 1490 is relatively better than the aCT score of 17.0.

As for the answer choices:

<em>A) The ACT score of 17.0 is relatively better than the SAT score of 1490</em>: NOT true. ← correct answer

<em>B) An SAT score of 1490 has a z score of -0.09</em>: TRUE

<em>C) The SAT score of 1490 is relatively better than ACT score of 17.0</em>: TRUE

<em>D) An ACT score of 17.0 has a z score of -0.85</em>: TRUE.

4 0

2 years ago