1. a simulator that randomly generates a line of 20 plus signs or o’s was run 10 times to analyze data on members who pay for a trainer at a fitness gym. a plus sign represents a member who pay for a personal trainer.

first simulation: +ooo +oo+ oo+o o+o+ oo+o
second simulation: o+oo ooo+ +ooo oo+o o++o
third simulation: +oo+ +ooo +oo+ o+o+
fourth simulation: oo+o +o++ oo+o oo+o ooo+
fifth simulation: ooo+ +oo+ ooo+ +ooo
sixth simulation: ++oo +oo+ +ooo ooo+
seventh simulation: o+oo +ooo +ooo o++o o++o
eighth simulation: +oo+ +oo+ o+oo +ooo
ninth simulation: o++o +o++ oo+o oo+o oo++
tenth simulation: o+++ ooo+ +oo+ ooo+ +ooo

(a) create a dot plot illustrating the sample proportion (written as a decimal) of members who pay for a personal trainer for the 10 simulations.

(b) a fitness gym chain commercial states that 50% of its members of a fitness gym chain pay for a personal trainer. the simulations represent samples of different franchises of this chain. is it reasonable that 50% of the members of a fitness gym chain pay for a personal trainer? explain your answer by referring to the dot plot for support of your position.