Question

An automated machine is used to fill bottles with liquid hand sanitizer gel. A
random sample of 20 bottles results in a sample variance of s
2
= 0.0153. If the
variance of the fill volume exceeds 0.01, an unacceptable proportion of bottles will
be underfilled or overfilled. Is there any evidence in the sample data to suggest that
the manufacturer has a problem with underfilled or overfilled bottles? Use = 0.05,
and assume that the fill volume follows a Normal distribution.
a. What is the parameter of interest?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. What is an appropriate test-statistics in this context?
e. Define the critical region of the test.
f. Calculate the value of the test-statistics.
g. Finally, do you accept or reject the null hypothesis?

Answer 1

Answer:

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