Step 1 :The question is asking for interpretations of the given probability in the context of the problem. The area under the normal curve to the left of a certain value represents the proportion of the population that falls below that value. In this case, the area to the left of 30 cm is 0.0365, which means that 3.65% of the population (15-year-old females) have an upper arm length less than 30 cm. This can be interpreted in two ways:
Step 2 :The proportion of 15-year-old females with an upper arm length less than 30 cm is 0.0365.
Step 3 :The probability that a randomly selected 15-year-old female has an upper arm length less than 30 cm is 0.0365.
Step 4 :Final Answer: The two interpretations of the result are:
Step 5 :\(\boxed{\text{The proportion of 15-year-old females with an upper arm length less than 30 cm is 0.0365.}}\)
Step 6 :\(\boxed{\text{The probability that a randomly selected 15-year-old female has an upper arm length less than 30 cm is 0.0365.}}\)