Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which 
is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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An equavalent ratio of 12\24 is 3\4
Answer:
690
Step-by-step explanation:
Round from the tens place.
To draw line HI perpendicular to JK we need to follow the given steps:
Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.
From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.
Use your ruler to join the given point (H) to the point where the arcs intersect (I).
HI is perpendicular to JK.
What is perpendicular?
Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.
Properties of Perpendicular Lines
- These lines always intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
- Adjacent sides of a square and a rectangle are always perpendicular to each other.
- The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
To learn more about perpendicular lines,
brainly.com/question/1202004
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Difference is always positive so it is 5
