Can you check my math on the following question The average price of homes sold in the medium size city in Canada in the past year was $220,000.

Can you check my math on the following question

The average price of homes sold in the medium size city in Canada in the past year was $220,000. A random sample of 81 homes sold this year showed an average price of $210,000 with a sample standard deviation of $36,000. Determine whether there has been a significant decrease in the average price of homes.

Compute the test statistic

t = (220,000 – 210,000) – 0 / square 36,000/81 + 36,000/81

t = 10,000/29.814

t = 335.41289

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