Chapter 6

Question 1

Standard normal distribution

Answer 1

1. Bell shaped graph
2. Mean = 0
3. SD = 1
4. Area under curve = 1
5. Correspondence between area and probability.

Question 2

Uniform distribution

Answer 2

Values are spread evenly

Question 3

Continuous density curve

Answer 3

1. Area under curve = 1

2. Every point on the curve > 0

Question 4

Less than z score problems

Answer 4

Use number from chart

Question 5

More than z score problems

Answer 5

1 - number from chart

Question 6

In between 2 z score problems

Answer 6

Bigger probability - smaller probability

Question 7

P(a < z < b)

Answer 7

P that a z score is between a & b

Question 8

P(z > a)

Answer 8

P z score greater than a

Question 9

P(z < a)

Answer 9

P z score is less than a

Question 10

In between 2 probabilities problem

Answer 10

Find z score 1-the positive

Question 11

Critical value

Answer 11

z score on the boarder of likely to occur vs unlikely

Question 12

Zα

Answer 12

Z score of α area to the RIGHT

Question 13

Nonstandard normal distribution formula

Answer 13

z= x-μ/α (round z scores to 2 decimal places)

Question 14

Nonstandard normal distribution between 2 #s

Answer 14

First find z scores, then subtract probabilities

Question 15

Distences

Answer 15

Z scores

Question 16

Areas, regions

Answer 16

Probability

Question 17

Nonstandard normal distribution: finding z score

Answer 17

Use P to find Z then, x=μ+(z*α)

Question 18

Sampling distribution of a statistic

Answer 18

The distribution of all values when al possible samples are the same size from the same population. (usually displayed as a probability distribution.

Question 19

Sampling distribution of a mean

Answer 19

Distribution of means of all samples of the same size of the same population. Mean of means is Pop mean. Normal distribution.

Question 20

Sampling distribution of a variance

Answer 20

Distribution of all variances of all samples of the same size of the same population. Mean of variances is Pop variance. Skewed to the right.

Question 21

Sampling distribution of a proportion

Answer 21

Distribution of a specified proportion of all samples of the same size of the same population. Mean of proportion is Pop mean. Normal distribution.

Question 22

Biased estimators

Answer 22

Do not target (represent) the population parameter when repeated indefinitely on samples. Include median, range, and SD. SD bias is small in large samples.

Question 23

Population σ^2

Answer 23

Σ(x-μ^2)/N

Question 24

Sample s^2

Answer 24

nΣ(x^2)-(Σx)^2/n(n-1)

Question 25

Notation of proportions

Answer 25

p=pop proportion ^p=sample proportion

Question 26

Expected value of sampling distribution statistic

Answer 26

Mean of the sample statistics, and the expected value of the population

Question 27

Find Zσ/2

Answer 27

Take 1- given number/2 look on A2 find Z