The desired percentage of SiO in a certain type of aluminous

Last updated: 5/10/2023

The desired percentage of SiO 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 SiO in a sample is normally distributed with 0 32 and that x 5 21 Use a 0 05 a Does this indicate conclusively that the true average percentage differs from 5 5 State the appropriate null and alternative hypotheses Ho 5 5 Ha 5 5 Ho 5 5 H 5 5 Ho 5 5 H 5 5 Ho 5 5 Ha 5 5 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 Z P value State the conclusion in the problem context Do not reject the null hypothesis There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage O Do not reject the null hypothesis There is sufficient evidence to conclude that the true average percentage differs from the desired percentage Reject the null hypothesis There is sufficient evidence to conclude that the true average percentage differs from the desired percentage O Reject the null hypothesis There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage b If the true average percentage is 5 6 and a level a 0 01 test based on n 16 is used what is the probability of detecting this departure from Ho Round your answer to four decimal places nic required to satisfy a 0 01 and B 5 6 0 01 Round your answer up to the next whole number