According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $57,688. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,879. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 192 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 192 nurses is found to be $58,016.005. 1. Completely describe the sampling distribution of the sample mean salary when samples of size 192 are selected.
According to the Bureau of Labor Statistics, the
1. Completely describe the sampling distribution of the sample mean salary when
2. What conjecture has been made?
3. Using the distribution described in part a, what is the probability of observing a sample mean of 58,016.005 or more?
4. Based on the probability found, what conclusion can be reached?
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