The old formula works better. Two people who took the old formula felt relief in less than 20 minutes, compared to none who took the new formula. Also, the worst result – near 120 minutes - was the new formula.
The average time for the new formula to relieve a headache is lower than the average time for the old formula. I would conclude that people taking the new formula will tend to feel relief about 20 minutes sooner than those taking the old formula.
The number of patients in the two groups is not the same so there is no fair way to compare the two formulas.
A baseball fan likes to keep track of statistics for the local high school baseball team. One of the statistics she recorded is the proportion of hits obtained by each player based on the number of times at bat as shown in the table below. Which of the following graphs gives the best display of the distribution of the proportion of hits in that it allows the baseball fan to describe the shape, center, and spread of the variable, proportion of hits?
For item No. 6:
The percentage of scores having 30 or below is about half of the lower 25% as the box both for section 1 and 2 as shown in their respective boxplot.
For item No. 7
The same as in No. 6. Since 80 is the median score the upper 50% are having scores 80 and above for both sections.
For item No. 8
The best presentation is plotting the percentage of hits to the number of players who made it. Graph C best represents the trend. It tells how many students make the highest percentage hits, and so on and so forth.