Question

The BigBux corporation wants to know how the population feels about their latest product, SmartAir. If...

The BigBux corporation wants to know how the population feels about their latest product, SmartAir. If the score is at least 3 out of 5 stars they’ll release the product. Unknown to them, the population mean score of SmartIce is µ = 2.4 stars with a standard deviation of σ = 1.2 stars. BigBux takes a sample of 36 randomly-chosen individuals and tests the product on them. What is the probability that the sample mean score these people give SmartAir is over 3 stars?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

= 2.4

= / n = 1.2 / 36 = 0.2

P( > 3) = 1 - P( < 3)

= 1 - P[( - ) / < (3 - 2.4) / 0.2 ]

= 1 - P(z < 3.0)   

= 1 - 0.9987

= 0.0013

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