Recently, six single$-$family homes in San Luis Obispo County in California sold at the following prices $($in $$1,000$s$)$: $777,648,717,798,755,667.($You may find it useful to reference the t table.$)$

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a$.$ Construct the $90\%$ confidence interval for the mean sale price in San Luis Obispo County. $($Round final answers to $2$ decimal places.$)$

b$.$ What assumption have you made when constructing this confidence interval?

multiple choice

Single family homes in San Luis Obispo follow a normal distribution.

Single family homes in San Luis Obispo need not follow a normal distribution.