Answered

Suppose that the lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 16 days. Complete the following statements.

Suppose that the lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 16 days. Complete the following state class=

Answer :

Solution:

(a) The empirical rule says that about 95% of all values lie within 2 standard deviation of the mean. Thus;

Thus;

[tex]\begin{gathered} z_1=-2=\frac{x_1-268}{16} \\ \\ x_1=268-32 \\ \\ x_1=236 \\ \\ z_2=2=\frac{x_2-268}{16} \\ \\ x_2=268+32 \\ \\ x_2=300 \end{gathered}[/tex]

ANSWER: Approximately 95% of pregnancies have lengths between 236 days and 300 days.

(b)

[tex]\begin{gathered} x_1=252 \\ \\ z_1=\frac{252-268}{16} \\ \\ z_1=-1 \\ \\ x_2=284 \\ \\ z_2=\frac{284-268}{16} \\ \\ z_2=1 \end{gathered}[/tex]

Thus;

[tex]\begin{gathered} P(-1

Other Questions