Question

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. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Your Answer is incorrect (a) Find the -score for an ACT score of . The -score for an ACT score of is

Answer 1

Complete question :

Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is

Answer:

1.26

Explanation:

Given that:

For ACT:

Mean score, m = 19.3

Standard deviation, s = 5.3

Zscore for ACT score of 26;

Using the Zscore formula :

(x - mean) / standard deviation

x = 26

Zscore :

(26 - 19.3) / 5.3

= 6.7 / 5.3

= 1.2641509

= 1.26