Binomial and Normal Distributions

Question 1

What is the formula for a binomial distribution?

Answer 1

Question 2

What does this mean?

Answer 2

X is normally distributed with a mean of u and a variance of whatsit square

Question 3

What is a Z-transformational formula

Answer 3

Question 4

What formula do you use to convert a normal distribution to a standard normal distribution

Answer 4

z-transformational formula

Question 5

Answer 5

population variance (standard deviation squared)

Question 6

Answer 6

The population mean of the random variable

Question 7

What are the properties of the Normal probability distribution function?

Answer 7

• the shape of the curve is determined by the population variance and the population mean
• the location of the peak (mode) is determined by the population mean
• the spread, or dispersion of the curve, is determined by the value of the standard deviation.
• it is symmetric about the mean. Thus the mean, mode and median are all equal to the mean.
• the total area under the curve is equal to one.

Question 8

What is the formula to covert a binomial distribution into an approximation of a normal distribution?

Answer 8

Question 9

With a significance level of 0.05, if a tests p-value is 0.02 what decision should be made about the Null?

Answer 9

As the p-value is less than the significance level, the Null should be rejected.