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iragen [17]
2 years ago
8

HELP PLEASE WILL MARK BRAINLIEST

Mathematics
1 answer:
White raven [17]2 years ago
7 0

Answer:

Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A.

Step-by-step explanation:

Let's calculate the test statistic of each score based on the mean and standard deviation of each test.

This statistic will show us <u><em>how far from the mean, measured in standard deviations, Wyatt's test score is</em></u>.

The formula for the test statistic is:

  • \displaystyle Z = \frac{x- \mu}{\sigma}
  • x = observed value
  • \mu is the population mean
  • \sigma is the population standard deviation

Let's calculate the test statistic for each test.

<u>Exam A:</u>

  • \displaystyle Z = \frac{45-35}{5} = \frac{10}{5}= 2

<u>Exam B: </u>

  • \displaystyle Z = \frac{x-100}{25}

Since we want the test statistic to be <u>the same for both</u> exam A and exam B, let Z = 2 and <em>solve for x</em> for Exam B.

  • \displaystyle 2 = \frac{x-100}{25}  \\ 50 = x - 100 \\ x = 150      

Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A. This score means that Wyatt is 2 standard deviations from the mean score on Exam B as he scored on Exam A.

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Step-by-step explanation:

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