Complete Question
Experiments on learning in animals sometimes measure how long it takes a gerbil to nd its way through a maze. The mean time is 14 seconds for one particular maze. A researcher thinks that playing soothing music will cause the gerbils to complete the maze slower. She measures how long each of 34 gerbils takes with a noise stimulus.
She measures how long each of 34 gerbils takes with a noise stimulus. The sample mean is x = 16.5 seconds.
The alternative hypothesis for the significance test is
a. Ha:μ≠14
b. Ha:μ=16.5.
c. Ha:μ>14
Answer:
Option C is correct.
The alternative hypothesis for the significance test is Ha:μ>14
Step-by-step explanation:
The researcher sets up a maze and notes that the mean time to complete the maze is 14 seconds for gerbils.
She then theorizes that playing soothing music for the gerbils while they complete the maze slows the gerbils down.
Using a sample of 34 gerbils, she tests her hypothesis, and truly, the sample mean, when she plays soothing noise in the background, rises from 14 to 16.5 seconds; indicating that the noise stimulus indeed, slows down the gerbils.
Alternative hypothesis theorizes that there is a relationship between two variables. A relationship that is significant enough statistically, that when the hypothesis is introduced, it affects the result of the experiment just in the way that the conductors of the experimemt have predicted.
So, if the alternative hypothesis for this 'gerbils completing maze experiment' is represented by Ha, just like the researcher theorizes, when Ha is introduced, the gerbils become slower and the mean time for completing the maze is evidently higher than the mean.
Mathematically, it can be written as
Ha:μ>14
Again, this is interpreted as, when Ha is introduced (soothing music), the mean time for the gerbils completing the maze is higher than the original mean (14).
Hope this Helps!!!
