An automated filling machine is employed to fill bottles with liquid detergent. A random sample of 16 bottles results in the sample mean of 32.01 fluid ounces and sample standard deviation of 1.025 fluid ounces. If the variance of fill volume exceeds 0.01 fluid ounces squared, an unacceptable proportion of bottles will be under filled or over filled. Employ a significance level of 5%
a) What are the null hypotheses?
b) The alternative hypothesis?
c) What is the form of the test statistic?
d) What is the calculated value of the test statistic?
e) What is the rejection region for the test statistic?
f) Reject the null hypothesis?( Yes or no)