A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.96, 0.95, 0.97, 1.05, 1.04, 0.98, 0.96, 0.96, and 0.96 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <μ< (Round to three decimal places as needed.)
A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.96, 0.95, 0.97, 1.05, 1.04, 0.98, 0.96, 0.96, and 0.96 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <μ< (Round to three decimal places as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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Transcribed Image Text:A machine produces metal pieces that are cylindrical in shape. A sample of pieces
is taken, and the diameters are found to be 0.96, 0.95, 0.97, 1.05, 1.04, 0.98, 0.96,
0.96, and 0.96 centimeters. Find a 99% confidence interval for the mean diameter of
pieces from this machine, assuming an approximately normal distribution.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
...
The confidence interval is<μ<.
(Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 19 shearing pins is taken in a study of the Rockwell hardness of the
pin head. Measurements on the Rockwell hardness are made for each of the 19,
yielding an average value of 45.50 with a sample standard deviation of 1.4. Assuming
the measurements to be normally distributed, construct a 99% confidence interval for
the mean Rockwell hardness.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
The confidence interval is <μ< 0.
(Round to three decimal places as needed.)
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