When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is concem that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x=5.48 Mpa and a standard deviation of s=0.38 Mpa. Orthodontists want to know if the true mean breaking strength is less than 8.00 Mpa, the mean breaking strength of the composite adhesive a. Set up the null and alternative hypotheses for the test. Choose the correct answer below OA. H: 8.00 vs H₂8.09 OC. H₂=548 vs. H₂ μ#5.48 OB. H: 8.09 vs. H₂ μ<8.00 OD. H: p=5.48 vs. H₂ μ<5.48 OF H: 26.09 vs. H₂ μ<8.09 OE H₂=809 vs. H₂ μ>6.09 b. Find the rejection region for the test using a=0.01. Choose the correct answer below OA > -3.106 OB. <-3.108 OD 13.108 OC. 1<2718 OE 1>3.108 OF. t>2.718 OH -2.718 OG. 1<-2718 c. Compute the test statistic +=(Round to two decimal places as needed) d. Give the appropriate conclusion for the test. Choose the correct answer below OA Reject H₂. There is insufficient evidence to indicate <6.09 Mpa OB. Do not reject H. There is insufficient evidence to indicate <8.00 Mpa OC. Do not reject H. There is sufficient evidence to indicate <8.00 Mpa. OD. Reject H. There is sufficient evidence to indicate <8.00 Mpa e. What conditions are required for the test results to be valid? OA. We must assume that the sample was random and selected from a population with a distribution that is approximately normal. OC. We must assume that the sample was not random and selected from a normally distributed population. OB. We must assume that the sample was not random and selected from a population with a highly skewed distribution. OD. We must assume that the sample was random. selected from a population that is highly skewed