Answer:
Option B) Yes, because its corresponding z score is greater than 2.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 268.3 days
Standard Deviation, σ = 15.1 days
We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
For x = 310
[tex]z = \displaystyle\frac{310 - 268.3}{15.1} = 2.77[/tex]
Since the obtained z score is greater than 2 we could that 310 is unusual.
Option B) Yes, because its corresponding z score is greater than 2.
