Answer:
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
Step-by-step explanation:
H0 : μ = 37
H1 : μ ≠ 37
μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1
Decision region :
If P value < α ;
Reject H0
Using the Z test statistic :
Zstatistic = (x - μ) ÷ (σ / √n)
Zstatistic = (51 - 37) ÷ (7 / 1)
Zstatistic = 14 ÷ 7
Zstatistic = 2
Obtaining p value from Zstatistic using the p value calculator ;
Zscore = 2 ; 2-tailed test, significance level = 0.05
P value = 0.0455
Zcritical at α = 0.05 for a 2 - tailed test = 1.96
0.0455 < 0.05
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
The shape that best describes forest park is parallelogram. The correct answer is Option C).
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The two streets Oak and Maple are parallel.
The two streets Jefferson and Washington are parallel.
<u><em>step 2</em></u><em> :</em>
These parallel lines are intersecting each other.
<em>The properties of intersection of parallel lines:</em>
- In the figure the lines are not shown as right angle, so they are not perpendicular (angle ≠ 90° and the lines have same slope)
- The alternate interior angles are equal.
<u><em>step 3</em></u><em> :</em>
<em>The properties of parallelogram are:</em>
- Opposite sides are parallel with same slopes.
- Opposite angles are congruent (same).
<u><em>step 4</em></u><em> :</em>
- The parallel lines of the streets make the opposite sides of the parallelogram.
- The interior angles of parallel lines are the opposite angles of the parallelogram.
Thus, the shape forest park best describes parallelogram.