The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

What is Z-test?

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We know the formula for the Z-test:

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

(a) For Boris:

[tex]\rm Z = \dfrac{67-60}{4.3}[/tex]

Z = 1.627

(b) For Callie:

[tex]\rm Z = \dfrac{119-110}{7.1}[/tex]

Z = 1.267

(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.

Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

Learn more about the Z-test here:

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