A family is relocating from St. Louis, Missouri, to California. Due to an increa

Question

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 23 houses that sold in their neighborhood took an average time of 180 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 62 days. Use Table 1. a. What assumption regarding the population is necessary for making an interval estimate for the population mean? Assume that the central limit theorem applies. Assume that the population has a normal distribution. b. Construct the 95% confidence interval for the mean sale time for all homes in the neighborhood. (Round intermediate calculations to 4 decimal places. Round "z-value" to 3 decimal places and final answer to 2 decimal places.) Confidence interval _____ to _____

Explanation / Answer

The statistical software output for this problem is:

One sample Z confidence interval:
: Mean of population
Standard deviation = 62

95% confidence interval results:

Hence,

a) Option B is correct.

b) 95% confidence interval will be:

(154.66, 205.34)

Mean n Sample Mean Std. Err. L. Limit U. Limit 23 180 12.927894 154.66179 205.33821

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