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 noeffect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 45 births. The value of the mean is μ=nothing. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ=nothing. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing girls or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 34 girls a result that is significantly high? What does it suggest about the effectiveness of the method? The result ▼ is not is significantly high, because 34 girls is ▼ equal to greater than less than nothing girls. A result of 34 girls would suggest that the method

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 noeffect, so the probability of a girl is

0.5.

Assume that the groups consist of

couples. Complete parts (a) through (c) below.

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

births.

The value of the mean is

μ=nothing.

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

The value of the standard deviation is

σ=nothing.

(Round to one decimal place as needed.)

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

Values of

nothing

girls or fewer are significantly low.

(Round to one decimal place as needed.)

Values of

nothing

girls or greater are significantly high.

(Round to one decimal place as needed.)

c. Is the result of

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

The result

▼

is not

significantly high, because

girls is

▼

equal to

greater than

less than

nothing

girls. A result of

girls would suggest that the method

▼

is effective.

is not 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 + ...

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