Chapter 7

Question 1

Population parameter

Answer 1

Quantitative- M or Mx

Porportion/cat-P or π

Question 2

Population Standard deviation

Answer 2

Quantitative- σ or σx

Porportion/cat-none

Question 3

M

Answer 3

quant opulation parameter

Question 4

Mx

Answer 4

Quant population parameter

Question 5

P

Answer 5

Porportional/cat population parameter

Question 6

π

Answer 6

Porportional/cat population parameter

Question 7

Sample statisctic

Answer 7

Quantitative- x̅

Porportion- p̂

Question 8

σ

Answer 8

Quant standard deviation of population

Question 9

σx

Answer 9

Quant standard deviation of population

Question 10

Sample standard deviation

Answer 10

Quantitative- Sx

Porportion/Categorical- None

Question 11

x̅

Answer 11

Quantitative sample statistic

Question 12

p̂

Answer 12

Porportion/cat sample statistic

Question 13

Mean of the sampling distribution

Answer 13

Quantitative- Mx̅

Porportion/Categorical- Mp̂

Question 14

Sx

Answer 14

Quant sample standard deviation

Question 15

Standard deviation of the sampling distribution

Answer 15

Quantitative- σx̅

Porportion/Categorical- σp̂

Question 16

Mx̅

Answer 16

Quant mean of the sampling distribution

Question 17

Mp̂

Answer 17

Porportion/cat mean of the sampling distribution

Question 18

σx̅

Answer 18

Quant standard deviation of the sampling distribution

Question 19

σp̂

Answer 19

Porportion/cat of standard deviation of the sampling distribution

Question 20

Sampling distribution for quantitative center

Answer 20

Mx̅= M if the sample was selected in a random unbiased manner

Question 21

Sampling distribution for porportion center

Answer 21

Mp̂= P if the sample was selected in a random unbiased manner

Question 22

Sampling distribution for quantitative shape

Answer 22

Shape of sampling distribution is appprox normal if the sample size is sufficently large enough to overcome skewness in the populaiton
n=30 is sufficently large
n=1 is sufficently large for nomral populations
More skew in population means you need an bigger sample size for it to be normal

Question 23

Sampling distribution for porportional shape

Answer 23

The sample size is sufficently large if:
np> or = 10
and
nq> or = 10

Question 24

Sampling distribution for quantitative shape

Answer 24

σx = σ / sqrt(n).

If the population is sufficently large and n < 1/10 population

Question 25

Sampling distribution for porporional shape

Answer 25

σp̂= Squart root(pq/n) | if the population is sufficently large and n < 1/10pop

Question 26

Sampling distribution

Answer 26

Distribution of all possible statistics (x bars and p hats) of a specific sample size taken from a specific popualtion

Question 27

Population distribution

Answer 27

Distribution of a variable of all individuals

Question 28

Central limit theorem

Answer 28

As the sample size of only a sampling distribution increases and sample size is sufficently large, 1. The shape of the sampling distribution becomes more normal 2. The mean of the sampling distribution stays exactly the same 3. The standard deviation of the sampling distribution decreases

Question 29

How is the mean of a sampling distribution related to the true population mean for the distribution

Answer 29

It is exactly the same

Question 30

How is the standard deviation of the sampling distribution related to the standard deviation of the population

Answer 30

Sampling distribution standard deviation is less than the standard deviation of the population

Question 31

Will we ever know the true population parameters (like mean and standard deviation)

Answer 31

no

Question 32

Would it be necessary to collect a sample from the population if you already know the population parameters you were interested in

Answer 32

No

Question 33

How is our degree of confidence change in relation to the sample size of our sampling distribtion

Answer 33

If the sample size of the sampling distribution is larger, we are more confident in our estimate of the parameters due to the smaller standard deviation

Question 34

How will the center of a sampling distribution change as the sample size n increases

Answer 34

It doesnt

Question 35

How will the standard deviation of the sampling distribution change as the sample size increases

Answer 35

It decrease

Question 36

Why are bigger sample sizes better for sampling distributions

Answer 36

They provide less sampling distribution while remaining unbiased (mean of the sampling distribution is equal to the mean of the population)