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Statistics · Studypool

Z distributions discussion post

Instructions

For this discussion post, we are going to run a hypothesis test using the Z-distribution. Read the following:

The average salary for a registered nurse in Las Vegas is claimed to be $82,000 with a standard deviation of $14,500. To determine if this information is accurate, we sampled 80 registered nurses working in Las Vegas and find their average salary to be $85,025. Test this at the α = 0.05 level.

Discussion Prompts

Answer the following questions in your initial post:

  1. What are the hypotheses based on the words given in the problem?
  2. What is our Z?
  3. What is the P-value?
  4. Based on your p-value and alpha, what conclusion will we make? Do we have evidence that the claim is false?
  5. Are there any other variables that could potentially impact the salary of a registered nurse? What are some methods of sampling we can use to ensure we have a representative population.

Supporting Resources: Hypothesis Test Basics https://www.youtube.com/watch?v=DlwOTOydeykLinks to an external site.

P-Value Basics https://www.youtube.com/watch?v=KLnGOL_AUgALinks to an external site.