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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.)
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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