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LUCKY_DIMON [66]
3 years ago
15

Assume that the following confidence interval for the difference in the mean time​ (in minutes) for male students to complete a

statistics test​ (sample 1) and the mean time for female students to complete a statistics test​ (sample 2) was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male and female test completion​ times?
Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer: Female students take longer to complete a Statistics test

Step-by-step explanation:

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B.
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Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

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Step-by-step explanation:

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