Answer:
The raw score of President Ronald Reagan is 1.745 which means that the President was older than approximately 96% of the population
Step-by-step explanation:
The z-score which is the standard score provides an indication the magnitude of the extent of a data point from the mean. It is calculated by measuring the number of standard deviations a data point is higher than or less than the mean.
The z-score, is given by the relation;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Where;
x = The data point value
μ = The mean
σ = The standard deviation
Given that we have;
The mean lifespan = 71.45 years
The standard deviation = 12.35 years
We can find the raw score of President Ronald Reagan's age of 93 years as follows;
[tex]z = \dfrac{93 - 71.45}{12.35} \approx 1.745[/tex]
The raw score of President Ronald Reagan is 1.745 which means that (by looking for the p value online) , the President was older than (1 - 0.040501) × 100 percent or approximately 96% of the population.