A study was conducted to determine if a certain treatment has any effect on the amount of metal removed in a pickling operation. A random sample of100 pieces was immersed in a bath for 24 hours without the treatment, yielding an average of 12.2 millimeters of metal removed and a sample standard deviation of1.1 millimeters. A second sample of 200 pieces was exposed to the treatment, followed by the 24-hour immersion in the bath, resulting in an average removal of 9.1 millimeters of metal with a sample standard deviation of 0.9 millimeter. a)Compute a 95% confidence interval estimate for the difference between the population means. b)Does the treatment appear to reduce the mean amount of metal removed? Explain Answer part a) below and part b) explain on your answer sheet NOTATION: (a,b) is equivalent to a< mean1-mean2

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A study was conducted to determine if a certain treatment has any effect on the amount of metal
removed in a pickling operation. A random sample of100 pieces was immersed in a bath for 24 hours without the treatment, yielding an average
of 12.2 millimeters of metal removed and a sample standard deviation of1.1 millimeters. A second sample of 200 pieces was exposed to the
treatment, followed by the 24-hour immersion in the bath, resulting in an average removal of 9.1 millimeters of metal with a sample standard
deviation of 0.9 millimeter.
a)Compute a 95% confidence interval estimate for the difference between the population means.
b)Does the treatment appear to reduce the mean amount of metal removed? Explain
Answer part a) below and part b) explain on your answer sheet
NOTATION: (a,b) is equivalent to a< mean1-mean2<b
O (2.587, 3.998)
(3,815, 4.600)
O none of the given choices
O (1.564, 2.134)
O (2.851, 3.349)
Transcribed Image Text:A study was conducted to determine if a certain treatment has any effect on the amount of metal removed in a pickling operation. A random sample of100 pieces was immersed in a bath for 24 hours without the treatment, yielding an average of 12.2 millimeters of metal removed and a sample standard deviation of1.1 millimeters. A second sample of 200 pieces was exposed to the treatment, followed by the 24-hour immersion in the bath, resulting in an average removal of 9.1 millimeters of metal with a sample standard deviation of 0.9 millimeter. a)Compute a 95% confidence interval estimate for the difference between the population means. b)Does the treatment appear to reduce the mean amount of metal removed? Explain Answer part a) below and part b) explain on your answer sheet NOTATION: (a,b) is equivalent to a< mean1-mean2<b O (2.587, 3.998) (3,815, 4.600) O none of the given choices O (1.564, 2.134) O (2.851, 3.349)
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