I am attempting to perform a hypothesis test to see if an activity improves the mood of people.
Null Hypothesis: The activity does not effect the mood.
Alternate Hypothesis: The activity improves the mood.
I have a sample of $60$ people and asked them to give their mood on a scale of 1-5 before and after performing the activity, with $1$ being a poor mood, and $5$ being a very good mood.
The scores before the activity have a mean of $3.26$ and a standard deviation of $0.52$.
The scores after the activity have a mean of $4.82$ and a standard deviation of $0.39$.
I calculate my Z-score as:
$${{4.82-3.26}\over{0.52/\sqrt{60}}} = 23.23$$
I then go to look up the $p$-value for this Z-score, but obviously the table does not show Z-scores as high as this meaning that the $p$-value is very close to $1$.
Can I then reject my null hypothesis based on this?