Test af - 11.26 vn u > 11.26 The aoumed standard deviation - 0.05 Sample Sample Standard mean error SE 11.29 0.02041 Complete the analysis by calculating the value of the one-sample z-statisti, the p-value, and making the decision. Find, alculale z to al least two decimal places. - 09799 Ise saltware or a table of standand normal critical values to determine the P.value. Give your answer precise to at least ur decimal places. P-

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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 2 and 7 is 11.26 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 2 and 7 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 ?

is the mean distance between balls 2 and 7, as measured by his computed tomography machine.

 

 

Test of - 11.26 vsu> 11.26
The assumed standard deviation – 0.05
Sample
Sample
Standard
sie
mean
error
SE
11.29
0.02041
Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First,
alculale z to al least two decimal places.
0.9799
Ise soltware or a table of standand normal critical values to determine the P-value. Give your answer precise to at least
our decimal places.
P-
Transcribed Image Text:Test of - 11.26 vsu> 11.26 The assumed standard deviation – 0.05 Sample Sample Standard sie mean error SE 11.29 0.02041 Complete the analysis by calculating the value of the one-sample z-statistic, the p-value, and making the decision. First, alculale z to al least two decimal places. 0.9799 Ise soltware or a table of standand normal critical values to determine the P-value. Give your answer precise to at least our decimal places. P-
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