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 ounces. Is there enough evidence to support the consumers conjecture at a=0.05. (Adapted from Bluman, 1988 p. 381)
a. First, indentify the alternative and the null hypotheses.
b. Secondly, calculate the critical value and the df.
c. Next, use the appropriate formula.
d. Finally, decide whether or not to reject the null hypotheses.