Consider an excavator that is known to scoop soil with weights following a normal distribution with (unknown) mean and standard deviation = 3kg. We measure the weight of soil in a sample of scoops and obtain the following data (in kg):352, 351, 361, 353, 352, 358, 360, 358, 359Construct a precise 95% and 98% confidence interval for the mean. Note: round your answers to only two decimals.Suppose now that standard deviation is not known. Construct a precise 95% and 98% confidence interval for the mean The 95% confidence interval is The 98% confidence interval is

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