The overhead reach distances of adult females are normally distributed with a mean of 205 cm 205 cm and a standard deviation of 8 cm 8 cm. a. Find the probability that an individual distance is greater than 217.50 217.50 cm. b. Find the probability that the mean for 25 25 randomly selected distances is greater than 203.50 cm. 203.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?\

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