More on Normal Distributions
Completion requirements
First, this section talks about the history of the normal distribution and the central limit theorem and the relation of normal distributions to errors. Then, it discusses how to compute the area under the normal curve. It then moves on to the normal distribution, the area under the standard normal curve, and how to translate from non-standard normal to standard normal. Finally, it addresses how to compute (cumulative) binomial probabilities using normal approximations.
Question 1 out of 4.
A standard normal distribution has:
a mean of 1 and a standard deviation of 1
a mean of 0 and a standard deviation of 1
a mean larger than its standard deviation
all scores within one standard deviation of the mean
Question 2 out of 4.
A number 1.5 standard deviations below the mean has a
score of:1.5
-1.5
3
more information is needed
Question 3 out of 4.
A distribution has a mean of 16 and a standard deviation of 6. What is the
score that corresponds with 25?Question 4 out of 4.
A distribution has a mean of 18 and a standard deviation of 5. Use the table presented in this section to determine the proportion of the scores (area) below 6.