ExpertEasy2 marksMultiple Choice
ACCA · Question 11 · Data analysis and statistical techniques
A manufacturing process produces steel bolts. The length of the bolts is normally distributed with a mean of 100 mm and a standard deviation of 2 mm.
What is the Z-score for a bolt that measures 105 mm?
A manufacturing process produces steel bolts. The length of the bolts is normally distributed with a mean of 100 mm and a standard deviation of 2 mm.
What is the Z-score for a bolt that measures 105 mm?
Answer options:
A.
1.5
B.
2.0
C.
2.5
D.
5.0
How to approach this question
Use the Z-score formula: Z = (X - μ) / σ.
Full Answer
C.2.5✓ Correct
The Z-score measures how many standard deviations a value is from the mean. Z = (105 - 100) / 2 = 2.5.
Common mistakes
Forgetting to divide by the standard deviation.
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