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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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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