A Company Has Developed a New Ink-Jet Cartridge for Its

Multiple Choice

A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 225 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean was determined to be 1511.4 pages. The population standard deviation is known to be 35.7 pages. The historical average lifetime for cartridges produced by the current process is 1502.5 pages.
-The null and alternative hypotheses to test whether the mean lifetime of the new cartridges exceeds that of the old cartridges is _____.

A) H_O: μ = 1502.5 vs.H_A: μ ≠ 1502.5
B) H_O: μ ≥ 1511.4 vs.H_A: μ < 1511.4
C) H_O: μ ≥ 1502.5 vs.H_A: μ < 1502.5
D) H_O: μ ≠ 1502.5 vs.H_A: μ = 1502.5
E) H_O: μ ≤ 1502.5 vs.H_A: μ > 1502.5