Standardized tests: In a particular year, the mean score on the ACT test was and the standard deviation was . The mean score on the SAT mathematics test was and the standard deviation was . The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is 1.

The Z-score for an ACT score of 26 is 1.26

Step-by-step explanation:

According to the Question,

Problems of normally distributed samples(bell-shaped) can be solved using the z-score formula. In a set with mean and standard deviation, the z score of a measure X is given by

Z = (X-μ) / σ

So, Z = (X-μ) / σ

Z = (26 - 19.3) / 5.3

Z = 1.26  

The Z-score for an ACT score of 26 is 1.26

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step-by-step explanation: