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new procedure is suggested for the manufacture of a piece of machinery. There are concerns that the procedure might result in pieces that are shorter than the required length of at least 10 cm. To research this, a random sample of 50 pieces was selected; the sample mean length was 9.97 with a standard deviation of 0.1 cm. Does this suggest that the population mean length of the pieces is less than the required 10 cm? a. Perform a hypothesis test at the 5% significance level.  b. What type of error might have been made in the test above, type 1 or 2? Explain your reasoning.

new procedure is suggested for the manufacture of a piece of machinery. There are concerns that the procedure might result in pieces that are shorter than the required length of at least 10 cm. To research this, a random sample of 50 pieces was selected; the sample mean length was 9.97 with a standard deviation of 0.1 cm. Does this suggest that the population mean length of the pieces is less than the required 10 cm? a. Perform a hypothesis test at the 5% significance level.  b. What type of error might have been made in the test above, type 1 or 2? Explain your reasoning.

MATLAB: An Introduction with Applications
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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 new procedure is suggested for the manufacture of a piece of machinery. There are
concerns that the procedure might result in pieces that are shorter than the required length of
at least 10 cm. To research this, a random sample of 50 pieces was selected; the sample mean
length was 9.97 with a standard deviation of 0.1 cm. Does this suggest that the population
mean length of the pieces is less than the required 10 cm?
a. Perform a hypothesis test at the 5% significance level. 
b. What type of error might have been made in the test above, type 1 or 2? Explain your
reasoning.

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