A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
1 answer:
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Answer:
p-value: 1.000
There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.
Step-by-step explanation:
We will be conducting a difference of 2 proportions hypothesis test
The hypothesis for this test is:
H_0: p1 - p2=0
H_a: p1 - p2 ≠0
(p1 ) = 252/300 = 0.84
(p2) = 195/300 = 0.65
This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575
See the attached photo for the calculations for this test
Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
