Statistical Distribution

Question 1

Discrete uniform distribution

Answer 1

P(X=x) are all the same values

Question 2

Binomial distribution conditions

Answer 2

1. there are a fixed number of trial
2. there are two possible outcomes
3. there is a fixed probability
4. each trials are independent of each another

Question 3

Critical region

Answer 3

the region where if a test statistic falls within, the null hypothesis is rejected

Question 4

Critical value

Answer 4

2. value which defines the bounds of the critical region
3. first value which rejects the null hypothesis

Question 5

Normal distribution points

Answer 5

1. symmetrical
2. bell-shaped curve
3. total area is 1
4. points of inflection μ±σ

Question 6

One standard deviation above the mean

Answer 6

65%

Question 7

Two standard deviations above the mean

Answer 7

95%

Question 7

Three standard deviations above the mean

Answer 7

99.7%

Question 8

Inverse normal P(X<a)

Answer 8

z = a-μ /σ

Question 9

Binomial to normal conditions

Answer 9

1. n is large
2. p is close to 0.5

Question 10

Binomial to normal probability

Answer 10

μ= np
σ = √np(1-p)

change to continuous

Question 11

Sample mean normal distribution

Answer 11

X-N( μ, σ^2 /n)

Question 12

P < sig level

Answer 12

reject null hypothesis

Question 13

P> sig level

Answer 13

no evidence to reject null hypothesis