The desired percentage of sio2 in a certain type of aluminous cement is 5.5. to test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. suppose that the percentage of sio2 in a sample is normally distributed with σ = 0.30 and that x = 5.24. (use α = 0.05.)
(a) does this indicate conclusively that the true average percentage differs from 5.5? state the appropriate null and alternative hypotheses. calculate the test statistic and determine the p-value. (round your test statistic to two decimal places and your p-value to four decimal places.)