Physicians had a hypothesis that smoking harms lung function. A person's lung function is commonly measured by their Forced Expiratory Volume (FEV), which is the maximum volume of air (in milliliters) a person is able to exhale forcefully in $1$ second. The greater the FEV, the better the lung function. A group of $1000$ smokers was randomized between a treatment group and a control group. The treatment group was enrolled in a special program and quit smoking, while the control group kept their smoking habits. The participants' FEV was measured just before the beginning of the experiment and $5$ years later. The results of the experiment showed that the mean change in FEV of the treatment group is $150\text{ ml}$ more than the mean change of the control group. To test whether the results could be explained by random chance, the researchers created the table below, which summarizes the results of $1000$ re-randomizations of the data (with differences between means rounded to the nearest $25\text{ ml}$). **According to the simulations, what is the probability of the treatment group's mean being higher than the control group's mean by $150\text{ ml}$ or more?** $\qquad$[[☃ math-keypad 1]] Assume that if the probability you found is *lower* than $5\%$, then the result should be considered significant. **What should we conclude regarding the experiment's result?** [[☃ radio 1]] Treatment group mean $-$ Control group mean | Frequency :-: | :-: $-175$ | $1$ $-150$ | $6$ $-125$ | $15$ $-100$ | $41$ $-75$ | $82$ $-50$ | $143$ $-25$ | $150$ $0$ | $167$ $25$ | $132$ $50$ | $127$ $75$ | $73$ $100$ | $38$ $125$ | $18$ $150$ | $6$ $175$ | $1$