please answer all parts :)

Part B: Short answer questions. Answer each question, they have equal points. Show all calculations and explanations. Correct answer without proper derivation and calculation will receive a grade of zero. (30 total points) 1. (15 points) The average price of a two-bedroom apartment sold in Canada in September 2018 was $240,000. A sample of 100 such apartments sold in Edmonton in September 2018 showed an average price of $245,000. It is known that the standard deviation of the population () is $25,000. We are interested in determining whether or not the average price of homes sold in Edmonton is significantly more than the national average. a) State the null and alternative hypotheses to be tested. ( 2+2=4 points) b) What is the appropriate test statistic for this hypothesis test? Compute its observed value from the sample. (1+4=5 points ) c) The null hypothesis is to be tested at 95% confidence. Find out whether you should reject the null hypothesis, using either the critical value approach, or the p-value approach. Show all your calculations and results. (4 points) d) What do you conclude in terms of the application problem in question, based on your findings in part (c)? (2 point)