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29. To estimate household income for a city, a random sample of 50 households is taken and the average household income for the sample is determined to be x = = $68,000. We are willing to assume that the population standard deviation is o = $10,000. a. Find a 98% z-confidence interval for the average household income in the city. Assume prices are normally distributed. (3 pts) b. A mayor running for reelection claims that mean household income is at an all- time high of $75,000. Based on the confidence interval in part (a), you should conclude: (1.5 pts) i. The mayor made a reasonable claim. 11. You are confident the Mayor made a claim that is too high. ili. You are confident the Mayor made a claim that is too low. iv. The results are inconclusive