Question

Experiments on learning in animals sometimes measure how long it takes mice to find their 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. The sample mean is x = 16.5 seconds.The alternative hypothesis for the significance test is ________.a.
`H_a`:μ≠18b.
`H_a`:μ=16.5.c.
`H_a`:μ<18.

Answer 1

Option c)
`H_a:\mu<18` is correct

The alternate hypothesis for the significance test is
`H_a:\mu<18`

Explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be
`\mu` and stadard deviation be
`\sigma`

The null hypothesis states that population value is equal to the value mentioned in the given claim.

`H_0:\mu=18` (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴
`H_a:\mu<18`

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

∴ option c)
`H_a:\mu<18` is correct.