Suppose a random sample of 48 apartments in Toronto was selected and their square footage were recorded. (a) We would like to construct a confidence interval to estimate the true mean square footage...

Extracted text: Suppose a random sample of 48 apartments in Toronto was selected and their square footage were recorded. (a) We would like to construct a confidence interval to estimate the true mean square footage of apartments in Toronto. A histogram of the apartment sizes in our sample is as follows: LO 550 600 650 700 750 800 850 900 Square footage What is the shape of the data distribution? We want to construct a confidence interval that relies on the assumption of normality. Given that it does not appear that the apartment square footages follow a normal distribution, can we still meaningfully construct this interval? Why or why not? (b) The mean and standard deviation of the apartments in the sample are calculated to be 660.94 and 79.88 respectively. Construct a 98% confidence interval for the true mean square footage of apartments in Toronto. (c) Provide an interpretation of the interval calculated in (b). Frequency 15