# Question

The president of a company states that the average hourly wage of her employees is $8.65. A sample of 50 employees has the distribution shown. At α = 0.05, is the president’s statement believable? Assume σ = 0.105.

Class Frequency

8.35–8.43.........2

8.44–8.52.........6

8.53–8.61..........12

8.62–8.70..........18

8.71–8.79..........10

8.80–8.88.........2

Class Frequency

8.35–8.43.........2

8.44–8.52.........6

8.53–8.61..........12

8.62–8.70..........18

8.71–8.79..........10

8.80–8.88.........2

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