Suppose the area under the normal curve to the left of =30 cm is 0.0558
.
Provide two interpretations of this result. Select all that apply.
The proportion of 12-year-old females with an upper arm length--a. of at least, b. of at most, c. of exactly, d. that is not---30 cm is 0.0558.
.
The probability that a randomly selected 12
-year-old
female has an upper arm length---e. of at least, f. of at most, g. of exactly, d. that is not---30 cm is 0.0558.
.
The proportion of 12-year-old females with an upper arm length of at most 30 cm is 0.0558.
The probability that a randomly selected 12-year-old female has an upper arm length of at most 30 cm is 0.0558.
a. The proportion of 12-year-old females with an upper arm length of at least 30 cm is 0.0558.
b. The probability that a randomly selected 12-year-old female has an upper arm length of at most 30 cm is 0.0558.
Suppose we want to find two interpretations of the result that the area under the normal curve to the left of 30 cm is 0.0558.
1. The proportion of 12-year-old females with an upper arm length of at most 30 cm is 0.0558. This interpretation is obtained by considering the area under the normal curve as the proportion of the population that falls below a certain value. In this case, it means that approximately 5.58% of 12-year-old females have an upper arm length of 30 cm or less.
2. The probability that a randomly selected 12-year-old female has an upper arm length of at most 30 cm is 0.0558. This interpretation is obtained by treating the area under the normal curve as a probability. In this case, it means that there is approximately a 5.58% chance that a randomly selected 12-year-old female will have an upper arm length of 30 cm or less.