When bonding teeth, orthodontists must maintain a dry field. a new bonding adhesive (called smartbond) has been developed to eliminate the necessity of a dry field. however there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive (trends in biomaterials & artificial organs, jan. 2003). tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x bar = 5.07 mpa and a standard deviation of s= .46 mpa. orthodontists want to know if the mean breaking strength of the new bonding adhesive is less than 5.70 mpa, the mean breaking strength of the composite adhesive.
a. set up the null and alternative hypotheses for the test. b. find the rejection region for the test using significance level=.01.c. compute the test statistic. d. give the appropriate conclusion for the test. e. what conditions are required for the test results to be valid?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel