A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces
a. Formulate the hypotheses to test to determine if the machine is in perfect adjustment.
b. Compute the value of the test statistic.
c. Compute the p-value and give your conclusion regarding the adjustment of the machine. Let ? = .05.
a. H0: ? = 12
Ha: ? ? 12
b. t = -2.4
c. p-value is between 0.01 and 0.025; therefore, reject H0
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