Answered: Assume that different groups of couples…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 28 couples. Complete parts (a) through (c) below.

a. Find the mean and the standard deviation for the numbers of girls in groups of 28births.

b. The value of the mean is μ=

(Type an integer or a decimal. Do not round.)

c. The value of the standard deviation is σ=

(Round to one decimal place as needed.)

d. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.

e. Values of ___ girls or fewer are significantly low.

(Round to one decimal place as needed.)

f. Values of ____ girls or greater are significantly high.

(Round to one decimal place as needed.)

g. Is the result of 24 girls a result that is significantly high? What does it suggest about the effectiveness of the method?

h. The result _______ (is or is not) significantly high, because 24 girls is ______ (equal to, less than, or greater than) girls. A result of 24 girls would suggest that the method is ______ (not effective or is effective)

(Round to one decimal place as needed.)

Expert Solution

Step 1

Note: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you'd like answered.

Given:

n = 28

p = 0.5

q = 1 $-$ p = 1 $-$ 0.5

q = 0.5

Formula Used:

Binomial distribution: X $~$ B(n, p)

Mean = np

Standard deviation = $\sqrt{n p q}$

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