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 32 couples Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 32 births. The value of the mean is u= 16. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = 2.8 (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 girls or fewer are significantly low. (Round to one decimal place as needed.)
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 32 couples Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 32 births. The value of the mean is u= 16. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = 2.8 (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 girls or fewer are significantly low. (Round to one decimal place as needed.)
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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Transcribed Image Text:The exercise discusses a probability scenario where different groups of couples use a particular method of gender selection for childbirth. Each couple gives birth to one baby, aiming to increase the likelihood that each baby will be a girl. However, the method is assumed to have no effect, so the probability of having a girl remains 0.5. The groups consist of 32 couples. The task involves completing parts (a) through (c).
### Part (a)
- **Objective**: Find the mean and the standard deviation for the number of girls in groups of 32 births.
- **Given**:
- Value of the mean (\( \mu \)) = 16 (As \( \mu = n \times p \), where \( n = 32 \) and \( p = 0.5 \)).
- Value of the standard deviation (\( \sigma \)) = 2.8 (Calculated as \( \sigma = \sqrt{n \times p \times (1-p)} \)).
### Part (b)
- **Objective**: Use the range rule of thumb to identify significantly low values.
- **Given**:
- Values of 10 or fewer girls are considered significantly low.
This exercise applies basic statistical concepts such as mean, standard deviation, and probability in the context of a binomial distribution scenario (considering childbirth outcomes). It highlights the calculation methods for mean and standard deviation, and uses the range rule of thumb to interpret data significance.
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