Asked by Shaima Albusaidi on Jul 11, 2024
Verified
For a normal curve, if the mean is 20 minutes and the standard deviation is 5 minutes, the area to the right of 13 minutes is 0.9192.
Normal Curve
A symmetrical bell-shaped curve representing the distribution of values, traits, or characteristics that are normally distributed.
Standard Deviation
A measure of the dispersion or variation in a set of values, indicating how much the values differ from the mean.
Mean
The arithmetic average of a set of numbers, calculated by summing them and dividing by the number of numbers.
- Identify and assess sections beneath the standard probability distribution.
Verified Answer
AR
alexis reamsJul 15, 2024
Final Answer :
True
Explanation :
Since the area to the right of 13 minutes is given, we need to find the z-score associated with this area using a standard normal table or calculator.
z = (x - μ) / σ
z = (13 - 20) / 5
z = -1.4
The area to the right of -1.4 on a standard normal table is 0.9192. Since the normal distribution is symmetric, the area to the left of -1.4 is the same as the area to the right of 13.
Therefore, the statement is true.
z = (x - μ) / σ
z = (13 - 20) / 5
z = -1.4
The area to the right of -1.4 on a standard normal table is 0.9192. Since the normal distribution is symmetric, the area to the left of -1.4 is the same as the area to the right of 13.
Therefore, the statement is true.
Learning Objectives
- Identify and assess sections beneath the standard probability distribution.