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The average price of homes sold in the U.S. in 2019 was $240,000 ( ) . A sample of 100 ( n ) homes sold

The average price of homes sold in the U.S. in 2019 was $240,000 (). A sample of 100 (n) homes sold in Phoenix in 2021 showed an average price of $236,000 (x). It is known that the standard deviation of the population () is $40,000. We are interested in determining whether or not the average price of homes sold in Phoenix in 2021 is significantly different from the national average.

  1. State your null and alternative hypotheses.
  2. What is the value of the test statistic? Please show all the relevant calculations.
  3. What are the rejection criteria based on the critical value approach? Use = 0.1.
  4. What is the Statistical decision (i.e., reject /or do not reject the null hypothesis)? Justify your answer.

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