MAT 114Graded Worksheet A4 Name: _____________________This needs to be completed and emailed to burelle@hartford.edu by the due date announced in CourseCompass.1. A group of male college students are hound to have a mean of 69.5 with a standard deviationof 2.4.a. Jack is ! tall."ind his z score.#$1.45%. &s Jack considered to %e an outlier'(oc. )uppose that another student* +arl* has a ,-score of-1.5."ind his height.65.9d..eter/s ,-score is -2.5.&s .eter considered an outlier'(o* his weight is 6!.5* if it was an0 less than 62.! than he would %e and outliere. 1se the 2mpirical 3ule to answer the following.Appro4imatel0 what percent are in each indicated height range5 i. 695.44666 7 %etween 64. and 4.! inchesii. 64.266667 %etween 69.5 and 4.! inches iii. 6658666 7 less than 69.5 inchesf. An0one shorter than 64. inches is in the shortest 662.2666 7.g. 9ow tall does a person need to %e to %e in the top 2.57 of heights'2.4h. :hat is the pro%a%ilit0 that a randoml0 chosen male college student is tall than 6.1 inches'.;41!