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Hypothesis Testing of Mean

Hello. I have finished all of my homework except for this one question. I need step-by-step solutions for this problem, so that I can do the other questions like this in future homework assignments.

A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the machine is not filling the jars completely. A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's conjecture at a = 0.05?
(1) First, identify the alternative and the null hypotheses.
(2) Secondly, calculate the critical value and d.f.
(3) Next, use the appropriate formula.
(4) Finally, decide whether or not to reject the null hypothesis.

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Solution Summary

The solution provides step by step method for the calculation of test statistic for the comparison of population mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.