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...

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.