he minimum injection pressure (psi) for injection molding specimens of high amylose corn was determined for eight different specimens (higher pressure corresponds to greater processing difficulty), resulting in the following observations. 15.0 12.9 17.6 14.0 12.2 10.6 9.4 8.2 (a) Determine the values of the sample mean sample median 2, and 12.5% trimmed mean xr: (Round your answers to two decimal places.) X- 12.49 v psi - 12.55 v psi Xtr" 12.33 X psi Compare these values. O The median is much larger than the mean and trimmed mean, indicating positive skewness. OThe median is much larger than the mean and trimmed mean, indicating negative skewness. O The mean is much larger than the median and trimmed mean, indicating positive skewness. O The mean is much larger than the median and trimmed mean, indicating negative skewness. O All three measures of center are similar, indicating little skewness to the data set. (b) By how much could the smallest sample observation, currently 8.2, be increased without affecting the value of the sample median? v psi (c) Suppose we want the values of the sample mean and median when the observations are expressed in kilograms per square inch (ksi) rather than psi. Is it necessary to reexpress each observation in ksi, or can the values calculated in part (a) be used directly? (Hint: 1 kg - 2.2 Ib.) O Yes, it is necessary to reexpress each observation. O No, the values obtained in part (a) can be used directly.

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The minimum injection pressure (psi) for injection molding specimens of high amylose corn was determined for eight different specimens (higher pressure corresponds to greater processing difficulty), resulting in the following observations.
15.0 12.9 17.6 14.0 12.2 10.6 9.4 8.2
(a) Determine the values of the sample mean x, sample median x, and 12.5% trimmed mean Xp: (Round your answers to two decimal places.)
tr'
x = 12.49
psi
X = 12.55
psi
Xtr = 12.33
psi
Compare these values.
The median is much larger than the mean and trimmed mean, indicating positive skewness.
OThe median is much larger than the mean and trimmed mean, indicating negative skewness.
O The mean is much larger than the median and trimmed mean, indicating positive skewness.
O The mean is much larger than the median and trimmed mean, indicating negative skewness.
All three measures of center are similar, indicating little skewness to the data set.
(b) By how much could the smallest sample observation, currently 8.2, be increased without affecting the value of the sample median?
4
psi
(c) Suppose we want the values of the sample mean and median when the observations are expressed in kilograms per square inch (ksi) rather than psi. Is it necessary to reexpress each observation in ksi, or can the values calculated in part (a) be used
directly? [Hint: 1 kg
2.2 Ib.]
O Yes, it is necessary to reexpress each observation.
O No, the values obtained in part (a) can be used directly.
Transcribed Image Text:The minimum injection pressure (psi) for injection molding specimens of high amylose corn was determined for eight different specimens (higher pressure corresponds to greater processing difficulty), resulting in the following observations. 15.0 12.9 17.6 14.0 12.2 10.6 9.4 8.2 (a) Determine the values of the sample mean x, sample median x, and 12.5% trimmed mean Xp: (Round your answers to two decimal places.) tr' x = 12.49 psi X = 12.55 psi Xtr = 12.33 psi Compare these values. The median is much larger than the mean and trimmed mean, indicating positive skewness. OThe median is much larger than the mean and trimmed mean, indicating negative skewness. O The mean is much larger than the median and trimmed mean, indicating positive skewness. O The mean is much larger than the median and trimmed mean, indicating negative skewness. All three measures of center are similar, indicating little skewness to the data set. (b) By how much could the smallest sample observation, currently 8.2, be increased without affecting the value of the sample median? 4 psi (c) Suppose we want the values of the sample mean and median when the observations are expressed in kilograms per square inch (ksi) rather than psi. Is it necessary to reexpress each observation in ksi, or can the values calculated in part (a) be used directly? [Hint: 1 kg 2.2 Ib.] O Yes, it is necessary to reexpress each observation. O No, the values obtained in part (a) can be used directly.
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