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The desired percentage of 𝑆𝑖𝑂2 in a certain type of aluminous
cement is 5.5.
To test whether the true average percentage differs from 5.5 for a
particular production
facility, 𝑛 independently obtained specimens should be analyzed.
Suppose that the
percentage of 𝑆𝑖𝑂2 in a specimen is normally distributed with 𝜎
=0.3. What value of 𝑛
is required to satisfy 𝛼 =0.01 and 𝛽(5.6)=0.01? Use the function
from problem 1 to
obtain the sample size. State the hypotheses. Include the output
produced by your
function. Include a sentence that confirms the sample size needed
to satisfy all
requirements of the problem. Note: remember that all sample sizes
should be rounded
up.