2- The average annual salary of 20 female hospital administrators is $80,900. These administrators believe they...

2- The average annual salary of 20 female hospital administrators is $80,900. These administrators believe they make less than their male counterparts because of sex bias. Published results suggest that hospital administrators have an average salary of μ = $85,100 (σ = $10,000). a) What conditions (assumptions) are needed to perform a z-test to address this question? b) Sketch the sampling distribution of x-bar based on an SRS of n = 20. Assume μ = $85,100 and σ = $10,000. Mark the horizontal axis with landmarks that are 1, 2, 3 standard errors around μ. Locate x-bar = $80,900 on the horizontal axis of the curve. c) Calculate the Zstat = and P-value for an observed x-bar of $80,900. d) Come up with four explanations for the lower-than-expected observed sample mean.

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