The National Institute of Standards and Technology (NIST) offers Standard Reference Materials to aid in the calibration of measurement instruments and verify the accuracy of measurements. Suppose a medical researcher wants to verify that the distances he measures with his computed tomography machine are not too large, so he orders a Dimensional Standard for Medical Computed Tomography from NIST. This standard consists of 18 plastic balls held in place by a plastic support structure. The certified distance between the balls numbered 1 and 3 is 20.15 mm, and NIST determines that measurement errors are normally distributed with a standard deviation of 0.05 mm. Upon receiving the Standard Reference Material, the researcher measured the distance between balls 1 and 3 six times. Take these six measurements to be a simple random sample of all measurements made on this device under carefully controlled conditions. The researcher then calculated the summary statistics, where u is the mean distance between balls 1 and 3, as measured by his computed tomography machine. Test of u = 20.15 vs u > 20.15 The assumed standard deviation = 0.05 Sample Sample Standard size mean error п SE 6. 20.17 0.02041 Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First, calculate z to at least two decimal places. Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First, calculate z to at least two decimal places. Use software or a table of standard normal critical values to determine the P-value. Give your answer precise to at least four decimal places. P =
The National Institute of Standards and Technology (NIST) offers Standard Reference Materials to aid in the calibration of measurement instruments and verify the accuracy of measurements. Suppose a medical researcher wants to verify that the distances he measures with his computed tomography machine are not too large, so he orders a Dimensional Standard for Medical Computed Tomography from NIST. This standard consists of 18 plastic balls held in place by a plastic support structure. The certified distance between the balls numbered 1 and 3 is 20.15 mm, and NIST determines that measurement errors are normally distributed with a standard deviation of 0.05 mm. Upon receiving the Standard Reference Material, the researcher measured the distance between balls 1 and 3 six times. Take these six measurements to be a simple random sample of all measurements made on this device under carefully controlled conditions. The researcher then calculated the summary statistics, where u is the mean distance between balls 1 and 3, as measured by his computed tomography machine. Test of u = 20.15 vs u > 20.15 The assumed standard deviation = 0.05 Sample Sample Standard size mean error п SE 6. 20.17 0.02041 Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First, calculate z to at least two decimal places. Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First, calculate z to at least two decimal places. Use software or a table of standard normal critical values to determine the P-value. Give your answer precise to at least four decimal places. P =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The National Institute of Standards and Technology (NIST) offers Standard Reference Materials to aid in the calibration of
measurement instruments and verify the accuracy of measurements. Suppose a medical researcher wants to verify that the
distances he measures with his computed tomography machine are not too large, so he orders a Dimensional Standard for
Medical Computed Tomography from NIST.
This standard consists of 18 plastic balls held in place by a plastic support structure. The certified distance between the balls
numbered 1 and 3 is 20.15 mm, and NIST determines that measurement errors are normally distributed with a standard
deviation of 0.05 mm. Upon receiving the Standard Reference Material, the researcher measured the distance between balls 1
and 3 six times. Take these six measurements to be a simple random sample of all measurements made on this device under
carefully controlled conditions. The researcher then calculated the summary statistics, where u is the mean distance between
balls 1 and 3, as measured by his computed tomography machine.
Test of u = 20.15 vs u > 20.15
The assumed standard deviation = 0.05
Sample
Sample
Standard
size
mean
error
п
SE
6.
20.17
0.02041
Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First,
calculate z to at least two decimal places.
Transcribed Image Text:Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First,
calculate z to at least two decimal places.
Use software or a table of standard normal critical values to determine the P-value. Give your answer precise to at least
four decimal places.
P =
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