Question

The net promoter score measures the quality of product and level of customer satifaction (0 lowest,...

The net promoter score measures the quality of product and level of customer satifaction (0 lowest, 10 highest). A particular industry has an average score of μ=7 with standard deviation of σ= 4. What is Q3 (75th percentile) of average scores from a sample of n= 30 businesses within this industry?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

mean = = 7

standard deviation = = 4

n = 30

= 7

= / n = 4 / 30

P(Z < z) = 0.75

P(Z < 0.67) = 0.75

z = 0.67

= z * + = 0.67 * 4 / 30 + 7 = 7.5

75th percentile = 7.5

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