Write the null and alternative hypotheses symbolically

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Problem 1: Write the null and alternative hypotheses symbolically and identify which hypothesis is the claim. Then identify if the test is left-tailed, right-tailed, or two-tailed and explain why.

Answer and Explanation:

  1. The claim in this scenario is saying that the average salary for all jobs in Minnesota is less than $75,000.
  2. Symbolically the null hypothesis will be written as: Ho: μ = $75,000 and the alternative hypothesis will be written as Ha: μ < $75,000.
  3. This test is left-tailed as we are testing that the average salary is less than $75,000. Since this is a left-tailed test, the rejection region will be left of the critical value under the curve.
  4. A claim is made that the average salary for all jobs in Minnesota is less than $75,000. You are going to test the claim using and assume that your data is normally distributed and the population standard deviation is not known.

Reference no: EM132728991

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