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+ oooo
Fourth simulation: oo+o +o++ oo+o oo+o ooo+
Fifth simulation: ooo+ oooo +oo+ ooo+ +ooo
Sixth simulation: ++oo +oo+ +ooo ooo+ oooo
Seventh simulation: o+oo +ooo +ooo o++o o++o
Eighth simulation: +oo+ oooo +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.
