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. 14.8 12.5 17.9 14.4 12.2 10.5 9.3 8.1 Determine the values of the sample mean x, sample median x, and 12.5% trimmed mean x, (Round your answers to two decimal places.) psi % = psi psi

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.
14.8 12.5 17.9 14.4 12.2 10.5 9.3 8.1
Determine the values of the sample mean x, sample median X, and 12.5% trimmed mean x... (Round your answers to two decimal places.)
x =
psi
psi
Xtr =
psi
Compare these values.
O The mean is much larger than the median and trimmed mean, indicating negative skewness.
O The median is much larger than the mean and trimmed mean, indicating negative skewness.
O The median is much larger than the mean and trimmed mean, indicating positive skewness.
O All three measures of center are similar, indicating little skewness to the data set.
O The mean is much larger than the median and trimmed mean, indicating positive skewness.
By how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median?
psi
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. 14.8 12.5 17.9 14.4 12.2 10.5 9.3 8.1 Determine the values of the sample mean x, sample median X, and 12.5% trimmed mean x... (Round your answers to two decimal places.) x = psi psi Xtr = psi Compare these values. O The mean is much larger than the median and trimmed mean, indicating negative skewness. O The median is much larger than the mean and trimmed mean, indicating negative skewness. O The median is much larger than the mean and trimmed mean, indicating positive skewness. O All three measures of center are similar, indicating little skewness to the data set. O The mean is much larger than the median and trimmed mean, indicating positive skewness. By how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median? psi 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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