personnel director in a particular state claims that the mean annual income is greater in one of the​ state's counties​ (county A) than it is in another county​ (county B). In County​ A, a random sample of 6 residents has a mean annual income of $41,500 and a standard deviation of $8500. In County​ B, a random sample of 8 residents has a mean annual income of $37,600 and a standard deviation of $5900. At α=0.10​, answe

MATLAB: An Introduction with Applications
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A personnel director in a particular state claims that the mean annual income is greater in one of the​ state's counties​ (county A) than it is in another county​ (county B). In County​ A, a random sample of 6 residents has a mean annual income of $41,500 and a standard deviation of $8500. In County​ B, a random sample of 8 residents has a mean annual income of $37,600 and a standard deviation of $5900. At α=0.10​, answer parts​ (a) through​ (e). Assume the population variances are not equal. 

  • Identify the claim and state H0 and Ha. 
  • What are
    H0
    and
    Ha​?
  • Find the critical​ value(s) and identify the rejection​ region(s).
  • Select the correct rejection​ region(s) below.
  • Find the standardized test statistic.
  • Decide whether to reject or fail to reject the null hypothesis.
  •  Interpret the decision in the context of the original claim.
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