Scores for a Standardized Test Are Normally Distributed with a Mean

question 83

Short Answer

Scores for a standardized test are normally distributed with a mean of 1200 and a standard deviation of 60. A sample of 36 scores is selected.
a.What is the probability that the sample mean will be larger than 1224?
b.What is the probability that the sample mean will be less than 1230?
c.What is the probability that the sample mean will be between 1200 and 1214?
d.What is the probability that the sample mean will be greater than 1200?
e.What is the probability that the sample mean will be larger than 73.46?

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Definitions:

Stimulus Generalization

The tendency for the conditioned stimulus to evoke similar responses after the response has been conditioned.

Conditioned Stimulus

A previously neutral stimulus that, after becoming associated with an unconditioned stimulus, evokes a conditioned response.

Negative Reinforcement

A behavioral principle where the removal of an unpleasant stimulus following a response increases the likelihood of that response in the future.

Stimulus Generalization

The tendency to respond in the same way to different but similar stimuli.