In Exercises, assume that red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.

What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

Problem 10CQQ

Answer:

Step1 of 3:

We have red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.

Step2 of 3:

We need to find what percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

Step3 of 3:

We have

1).Consider z statistics with

P() = P(z )

= P(z )

= P(z-0.99)

= 0.9842

Probability that -0.990 is calculated by using standard normal table(area under normal curve).in statistical table we have to see row -0.9 under column 0.00

Hence, P(z-0.99) = 0.9842

2).1).Consider z statistics with

P() = P(z )

= P(z )

= P(z2.15)

= 0.1611

Probability that 2.15 is calculated by using standard normal table(area under normal curve).in statistical table we have to see row 2.1 under column 0.05

Hence, P(z 2.15) = 0.1611

Now,

The percentage of women have red blood cell counts in the normal range from 4.2 to 5.4 is given by

P() - P() = 0.9842 - 0.1611

= 0.8231

Conclusion:

Therefore,82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4.