For the following question(s): A researcher is interested in whether the color of an animal's surroundings affects learning rate. She tests 16 rats in a box with colorful wallpaper. Assume that it is known that the average rat can learn to run this particular maze (in a box without any special coloring)in 25 trials, with a variance of 64; the distribution is normal. The mean number of trials to learn the maze for the group with the colorful wallpaper is 11.
-What is the shape of the distribution of means?
A)rectangular
B)normal
C)not rectangular, but flatter than a normal curve
D)it cannot be determined from the information given

Question

Quizplus · Accepted Answer

The problem states that the distribution of the rats' learning rates is normal with a mean of 25 and variance of 64. The researcher is only testing a sample of 16 rats, so the distribution of means will also be approximately normal by the Central Limit Theorem.

For the Following Question(s): a Researcher Is Interested in Whether