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A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. data item: 96; standard deviation: 9 OA. 000 55/3 B. 36 C. 4 D. 9 ***

A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. data item: 96; standard deviation: 9 OA. 000 55/3 B. 36 C. 4 D. 9 ***

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question:** A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. - Data item: 96 - Standard deviation: 9 **Options:** - A. \(\frac{5}{3}\) - B. 36 - C. 4 - D. 9 **Explanation:** To convert the data item to a z-score, use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the data item (96) - \( \mu \) is the mean (60) - \( \sigma \) is the standard deviation (9) Substitute the values into the formula to find the z-score.
Transcribed Image Text:**Question:** A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. - Data item: 96 - Standard deviation: 9 **Options:** - A. \(\frac{5}{3}\) - B. 36 - C. 4 - D. 9 **Explanation:** To convert the data item to a z-score, use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the data item (96) - \( \mu \) is the mean (60) - \( \sigma \) is the standard deviation (9) Substitute the values into the formula to find the z-score.
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