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Stock prices: The Standard and Poor's (S&P) 500 is a group of 500 large companies traded on the New York Stock Exchange. Following are prices, in dollars, for one day for a random sample of eight stocks.53.55 84.25 201.94 24.68 53.4784.86 8.11 74.23 Send data to ExcelAssume the population standard deviation is =σ54.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval.It is necessary to check whether the population is approximately normal because ▼(Choose one).

Question

Stock prices: The Standard and Poor's (S&P) 500 is a group of 500 large companies traded on the New York Stock Exchange. Following are prices, in dollars, for one day for a random sample of eight stocks.53.55 84.25 201.94 24.68 53.4784.86 8.11 74.23 Send data to ExcelAssume the population standard deviation is =σ54.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval.It is necessary to check whether the population is approximately normal because ▼(Choose one).

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Solution

It is necessary to check whether the population is approximately normal before constructing a confidence interval because the validity of many statistical tests and procedures relies on this assumption. The normal distribution assumption allows us to make inferences about the population from our sample data. If the population is not approximately normal, the confidence interval may not be accurate or meaningful.

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