A coin-operated drink machine was designed to discharge a mean of 9 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 13 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 9.17 fluid ounces and 0.26 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 9 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. (Round to three or more decimal places.) c. Find the p-value. (Round to three or more decimal places.) d. Can we conclude that the mean discharge differs from 9 fluid ounces?
A coin-operated drink machine was designed to discharge a
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. (Round to three or more decimal places.)
c. Find the p-value. (Round to three or more decimal places.)
d. Can we conclude that the mean discharge differs from 9 fluid ounces?
Step by step
Solved in 5 steps
