2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows: Grade X 568 570 575 578 584 Grade Y 573 574 575 577 578 a) For each of the two grades of tires, compute the mean, median, and standard deviation. b) Which grade of tire is providing better quality? Explain. c) What would be the effect on your answers in (a) and (b) if the last value for grade Y were 588 instead of 578? Explain.

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2) The operations manager of a plant that manufactures tires wants to compare the actual inner
diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample
of five tires of each grade was selected, and the results representing the inner diameters of
the tires, ranked from smallest to largest, are as follows:
Grade X
568 570 575 578 584
Grade Y
573 574 575 577 578
a) For each of the two grades of tires, compute the mean, median, and standard deviation.
b) Which grade of tire is providing better quality? Explain.
c) What would be the effect on your answers in (a) and (b) if the last value for grade Y
were 588 instead of 578? Explain.
3) The file contains the overall miles per gallon (MPG) of 2010 family sedans:
24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20
Source: Data extracted from "Vehicle Ratings," Consumer Reports, April 2010, p. 29.
a) Compute the mean, median, and mode.
b) Compute the variance, standard deviation, and range.
c) Are the data skewed? If so, how?
4) The file contains the cost (in cents) per 1-ounce serving for a sample of 13 chocolate chip
cookies. The data are as follows:
54 22 25 23 36 43 7 43 25 47 24 45 44
Source: Data extracted from "Chip, Chip, Hooray," Consumer Reports, June 2009, p. 7.
a) Compute the mean, median, and mode.
b) Compute the variance, standard deviation, and range. Are there any outliers?
Explain.
c) Are the data skewed? If so, how?
d) Based on the results of (a) through (c), what conclusions can you reach concerning
the cost of chocolate chip cookies?
Transcribed Image Text:2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows: Grade X 568 570 575 578 584 Grade Y 573 574 575 577 578 a) For each of the two grades of tires, compute the mean, median, and standard deviation. b) Which grade of tire is providing better quality? Explain. c) What would be the effect on your answers in (a) and (b) if the last value for grade Y were 588 instead of 578? Explain. 3) The file contains the overall miles per gallon (MPG) of 2010 family sedans: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source: Data extracted from "Vehicle Ratings," Consumer Reports, April 2010, p. 29. a) Compute the mean, median, and mode. b) Compute the variance, standard deviation, and range. c) Are the data skewed? If so, how? 4) The file contains the cost (in cents) per 1-ounce serving for a sample of 13 chocolate chip cookies. The data are as follows: 54 22 25 23 36 43 7 43 25 47 24 45 44 Source: Data extracted from "Chip, Chip, Hooray," Consumer Reports, June 2009, p. 7. a) Compute the mean, median, and mode. b) Compute the variance, standard deviation, and range. Are there any outliers? Explain. c) Are the data skewed? If so, how? d) Based on the results of (a) through (c), what conclusions can you reach concerning the cost of chocolate chip cookies?
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