An inventor has developed a new, energy-efficient lawn mower engine. he claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. suppose simple random samples of 500 engines were tested. the engines run for an average of 295 minutes, with a standard deviation of 20 minutes. test the claim that the run time differs from 300 minutes. use a 0.05 level of significance a) set up test hypothesis b) write test statistics and sketch c) apply classical or p-value method d) draw conclusion and interpret.

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|

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