![Stats: Modeling the World Nasta Edition Grades 9-12](https://www.bartleby.com/isbn_cover_images/9780131359581/9780131359581_largeCoverImage.gif)
Concept explainers
a)
To find the standard deviation of younger hens.
a)
![Check Mark](/static/check-mark.png)
Answer to Problem 47E
The standard deviation is 5.3448.
Explanation of Solution
Given:
Formula:
From given information, if 28% exceed the desired minimum weight then 72% do not exceed the desired weight. That means, we need to find z-score corresponding to a probability of 72%.
P(Z< z) = 0.72
z = 0.58
Using formula,
b)
To find the standard deviation older hens.
b)
![Check Mark](/static/check-mark.png)
Answer to Problem 47E
The standard deviation is 6.3902
Explanation of Solution
Given:
Formula:
From given information, if 98% exceed the desired minimum weight than 2% do not exceed the desired weight. That means, we need to find z-score corresponding to a probability of 2%.
P(Z< z) = 0.02
z = -2.05
Using formula,
c)
To compare younger hens with older hens.
c)
![Check Mark](/static/check-mark.png)
Answer to Problem 47E
The egg sizes for the younger hens are more consistent.
Explanation of Solution
Given:
Standard deviation of younger hens = 5.3448 grams
Standard deviation of older hens = 6.3902 grams
If the standard deviation us smaller then the values are said to be more consistent. Hence, the egg sizes for the younger hens are more consistent.
Chapter 6 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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