A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3 and the standard deviation was 5.6. The test scores of four students selected at random are 15, 23, 8, and 35. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 15 is. (Round to two decimal places as needed.) The z-score for 23 is (Round to two decimal places as needed.) The z-score for 8 is (Round to two decimal places as needed.) The z-score for 35 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) B. None of the values are unusual.

MATLAB: An Introduction with Applications
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## Analyzing Test Scores

### Problem Statement
A standardized test score is normally distributed. Last year, the mean test score (\( \mu \)) was 21.3 and the standard deviation (\( \sigma \)) was 6. The test scores of four students selected at random are 15, 32, 9, and 35.

### Tasks
For each student score:
1. Calculate the z-score using the formula:
   \[
   z = \frac{(X - \mu)}{\sigma}
   \]
   where \( X \) is the student's score.

2. Determine if any of the scores are unusual using the following criteria:
   - A z-score less than -2 or greater than 2 typically indicates an unusual score.

### Rounding Instructions
- Round all z-scores to two decimal places as needed.

### Input Fields
- Provide the z-scores for each student:
  - Score of 15: [___] (round to two decimal places as needed)
  - Score of 32: [___] (round to two decimal places as needed)
  - Score of 9: [___] (round to two decimal places as needed)
  - Score of 35: [___] (round to two decimal places as needed)

### Questions
- Which (if any) z-scores are unusual? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
  - O A. None of the z-scores are unusual.
  - O B. The score of [___] is unusual.
Transcribed Image Text:## Analyzing Test Scores ### Problem Statement A standardized test score is normally distributed. Last year, the mean test score (\( \mu \)) was 21.3 and the standard deviation (\( \sigma \)) was 6. The test scores of four students selected at random are 15, 32, 9, and 35. ### Tasks For each student score: 1. Calculate the z-score using the formula: \[ z = \frac{(X - \mu)}{\sigma} \] where \( X \) is the student's score. 2. Determine if any of the scores are unusual using the following criteria: - A z-score less than -2 or greater than 2 typically indicates an unusual score. ### Rounding Instructions - Round all z-scores to two decimal places as needed. ### Input Fields - Provide the z-scores for each student: - Score of 15: [___] (round to two decimal places as needed) - Score of 32: [___] (round to two decimal places as needed) - Score of 9: [___] (round to two decimal places as needed) - Score of 35: [___] (round to two decimal places as needed) ### Questions - Which (if any) z-scores are unusual? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - O A. None of the z-scores are unusual. - O B. The score of [___] is unusual.
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