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. c) 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.

Question

Mathematics

Boston Barker

18 December, 00:50

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. c) 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.

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Answers (1)

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Ayaan Heath · Answer 1

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.