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strojnjashka [21]
4 years ago
6

Many birds are injured or killed by flying into windows. It appears that birds don't see windows. Can tilting windows down so th

at they reflect earth rather than sky reduce bird strikes? Place six windows at the edge of a woods: two vertical, two tilted 20 degrees, and two tilted 40 degrees. During the next four months, there were 53 bird strikes, 31 on the vertical window, 14 on the 20-degree window, and 8 on the 40-degree window. If the tilt has no effect, we expect strikes on all three windows to have equal probability. The P-value for the test is:a) 0.01 < P < 0.02.b) 0.0025 < P < 0.001.c) P < 0.005.d) 0.0005 < P < 0.001.What do you conclude?a) Tilted windows raise the number of stroked birds.b) The data give convincing evidence that tilted windows have no effect on birds striking.c) The data give convincing evidence (P < 0.005) that the three tilts differ.d) These data do not give convincing evidence for difference in birds striking due to tilting of windows.
Mathematics
1 answer:
REY [17]4 years ago
5 0

Answer:

The correct answer is C,   P < 0.005 and the conclusion is that the data given gave convincing evidence  (P∠0.005) that the three tilts differs.

Step-by-step explanation:

If we go ahead to test the null hypothesis in the narrative given, we will achieve a chi-distribution of

Distribution    Strikes  expected frequency of strike

0.333             31                   17.6667

0.333              14                    17.6667

0.333             8                      17.6667

If we complete the table  above, and decide to determine the P-value using the table D, then the difference will be = c-1=3-1=2

Thus, p∠0.005.

Then we can conclude that C, is the answer.

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Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

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<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

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a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

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