I need help with a & c & e .. thank you

You may need to use the appropriate appendix table or technology to answer this question. The average price of homes sold in the U.S. in the past year was $230,000. A random sample of 81 homes sold this year showed an average price of $219,000. It is known that the standard deviation of the population is $36,000. At a 5% level of significance, test to determine if there has been a significant decrease in the average price of homes. (a) State the null and alternative hypotheses (in dollars) to be tested. (Enter != for # as needed.) Hy: | 4! = 230000 X | u=230000 X (b) Compute the test statistic. test statistic