Recall the following summary statistics for our sample of white wine pH measurements. Z= z-score for pH of 3.0 X-X S = Variable Name N = -1.24 Z= 3.0 3.1883 = PH Wines with low pH taste tart and crisp whereas wines with higher pH are more susceptible to bacterial growth. A pH of about 3.0 to 3.4 is most desirable for white wines. z-score for pH of 3.4. X-X S Determine the relative standing for a pH of 3.0 and a pH of 3.4 by computing a z-score for each observation, using the rounded values above and rounding each. z-score to two decimals. = 1.40 0.1510 3.4 3.1883 4,898 Mean Standard Deviation Median Minimum Value 0.1510 3.1883 0.1510 3.18 2.72 Maximum Value Taking the absolute value of each z-score gives the following interpretations for each pH. A pH of 3.0 is -1.24 X standard deviations below 3.82 0✓ the mean whereas a pH of 3.4 is 1.40 ✓ standard deviations

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