A neurological study found that monozygotic twins share numerous physical, psychological, and pathological traits. The researchers measured intelligence scores of 10 pairs of twins. The twins are distinguished by birth order. Assume Normality.

a) Show all steps (including how to find cutoff value) and construct a two-sided 95% Confidence Interval for the true mean difference.

(b) Figure out to the nearest whole percent what confidence level you would need to decrease to obtain a confidence width (error) of about 0.22 for the true mean difference in this prob

BornFirst BornSecond
6.08 5.73
6.22 5.8
7.99 8.42
7.44 6.48
6.48 6.43
7.99 8.76
6.32 6.32
7.6 7.62
6.03 6.59
7.52 7.67

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

what chart am i supposed to follow?

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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