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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Recall the following summary statistics for our sample of white wine pH measurements.
Z =
X-
Z =
S
= -1.24
=
3.0
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.
Variable Name
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.
z-score for pH of 3.0
X - X
S
z-score for pH of 3.4
3.4
1.40
3.1883
pH
0.1510
3.1883
♥
N
0.1510
Mean Standard Deviation Median Minimum Value Maximum Value
4,898 3.1883
the mean.
0.1510
3.18
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
above
2.72
♥
3.82
the mean whereas a pH of 3.4 is 1.40
standard deviations
Transcribed Image Text:Recall the following summary statistics for our sample of white wine pH measurements. Z = X- Z = S = -1.24 = 3.0 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. Variable Name 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. z-score for pH of 3.0 X - X S z-score for pH of 3.4 3.4 1.40 3.1883 pH 0.1510 3.1883 ♥ N 0.1510 Mean Standard Deviation Median Minimum Value Maximum Value 4,898 3.1883 the mean. 0.1510 3.18 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 above 2.72 ♥ 3.82 the mean whereas a pH of 3.4 is 1.40 standard deviations
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