Answer :
To calculate the z-score, we can use the formula:
z = (x - μ) / σ
Where:
x is the value of interest (97.6 in this case)
μ is the population mean (given as 94.2)
σ is the population standard deviation (given as 7.8)
Substituting the values into the formula:
z = (97.6 - 94.2) / 7.8
Calculating the numerator:
z = 3.4 / 7.8
Dividing to obtain the z-score:
z ≈ 0.44 (rounded to two decimal places)
Therefore, the z-score for x = 97.6 is approximately 0.44.
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