A real estate agent believes that home with swimming pools take longer to sell than home without swimming pools.A random sample of each type of recently sold homes was taken where the number of days on the market is recorded.Results are:
Homes with pool Homes w/o pool
Sample mean 77 days 65 days
Sample Standard deviation 8.4 days 7.2 days
Sample size 19 23
Assuming that the populations are normally distributed and the variances are equal,conduct the appropriate hypothesis test to determine if the real estate agent is correct.Use the 0.05 level of significance.
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