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irakobra [83]
3 years ago
7

Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is

18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus. Choose the correct null hypothesis H0 and alternative hypothesis Ha from the choices below.a) H0: µ = 18; Ha: µ < 18.b) H0: µ = 18; Ha: µ > 18.c) H0: y = 18; Ha: y < 18.d) H0: y = 18; Ha: y > 18.e) H0: µ = y; Ha: µ < y.f) H0: y = 18; Ha: y ? 18.g) H0: µ = 18; Ha: µ ? 18.
Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

In an experiment a mouse took the mean time to find its way through a maze = 18 seconds.

So the mean time μ = 18

So null hypothesis says,

H₀ : μ = 18

Then a researcher thought that the mice can complete the maze faster than the time taken earlier.

So he thinks mean time taken by 10 mice will be less than 18 seconds.

Or μ < 18

Alternate hypothesis says will be

Hₐ : μ < 18

Therefore, null hypothesis and alternate hypothesis will be

H₀ : μ = 18

Hₐ : μ < 18

Option A. will be the answer.

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Answer:

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Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

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Hope this helped!

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