Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why....

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Extracted text: Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 42 people, the mean body mass index (BMI) was 27.7 and the standard deviation was 6.03. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a t-distribution because the sample is random, the population is normal, and o is unknown. B. Use a t-distribution because the sample is random, n2 30, and o is unknown. OC. Use a normal distribution because the sample is random, n2 30, and o is known. D. Use a normal distribution because the sample is random, the population is normal, and o is known. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n<30, and="" the="" population="" is="" not="" known="" to="" be="" normal.="" select="" the="" correct="" choice="" below="" and,="" if="" necessary,="" fill="" in="" any="" answer="" boxes="" to="" complete="" your="" choice.="" o="" a.="" the="" 90%="" confidence="" interval="" is="" 11.7,="" 19.0="" ).="" (round="" to="" two="" decimal="" places="" as="" needed.)="" ob.="" neither="" distribution="" can="" be="" used="" to="" construct="" the="" confidence="">