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8. The average price of homes sold in the U.S. in the past year was $220,000....

8. The average price of homes sold in the U.S. in the past year was $220,000. A random sample of 81 homes sold this year showed an average price of $210,000. It is known that the standard deviation of the population is $36,000. At level of significance (a) 0.05, conduct the hypothesis test to determine if there has been a significant decrease in the average price homes.

What is appropriate Null and Alternative Hypothesis?

Group of answer choices

a. Ho: µ ≥ 220,000, Ha: µ < 220,000

b. Ho: µ ≥ 210,000 Ha: µ < 210,000

c. Ho: µ < 220,000 Ha: µ > 210,000

d. Ho: µ ≤ 220,000, Ha: µ > 220,000

please show work.

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