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can you rephrase this Given: Standard deviation, = 0.070 Sample size, n = 3 Dataset = 7.40, 7.36, 7.45 Mean, x = (7.40 +
can you rephrase this " Given: Standard deviation, = 0.070 Sample size, n = 3 Dataset = 7.40, 7.36, 7.45 Mean, x = (7.40 + 7.36 + 7.45)/3 = 7.40333333 Generating the 95% confidence interval, we solve for the standard error first: SE = /(square root of n) = 0.070/(square root of 3) = 0.04041451884 The z-score corresponding to 95% confidence interval is, z = 1.96. Lower bound = x - z(SE) = 7.40333333 - 1.96(0.04041451884) = 7.3241208730736 Rounding off to the nearest 4 decimal places, lower bound = 7.3241 Upper bound = x + z(SE) = 7.40333333 + 1.96(0.04041451884) = 7.4825457869264 Rounding off to the nearest 4 decimal places, upper bound = 7.4825 Thus, the 95% confidence interval is from 7.3241 to 7.4825
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