The lead content in noodles is assumed to be normally distributed with standard deviation  of 0.3. The permissible average lead content in noodles is at most 5.5 percent. To test the true  average, 16 independent samples of noodles were analysed and the mean lead content  generated was 5.6 percent. Does the sample indicate that the true average percentage of lead  content is less than the true mean at 4% level of significance? Also calculate the power of the  test if the true mean value is 5.51 percent.

MATLAB: An Introduction with Applications
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The lead content in noodles is assumed to be normally distributed with standard deviation 
of 0.3. The permissible average lead content in noodles is at most 5.5 percent. To test the true 
average, 16 independent samples of noodles were analysed and the mean lead content 
generated was 5.6 percent. Does the sample indicate that the true average percentage of lead 
content is less than the true mean at 4% level of significance? Also calculate the power of the 
test if the true mean value is 5.51 percent.

 

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