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1.What causes statistical methods to be not reliable? 2.Briefly define a simple random sample. 3.Briefly define stratified sampling. 4.Briefly define a cluster sample. 5.Briefly define

1.What causes statistical methods to be not reliable?

2.Briefly define a simple random sample.

3.Briefly define stratified sampling.

4.Briefly define a cluster sample.

5.Briefly define a multistage sample.

Review of the symbols:

Symbol

Read as

Represents

x-bar

The sample mean

mu

The population mean

sigma

The population standard deviation (measures the spread in the data

2

Sigma squared

The population variance

S

----------------

The sample standard deviation

S2

----------------

The sample variance

6.The average weight of all US adults would be considered what in the language of statistics?

7.The mean weight of the adults in a sample or a survey is an ________________of the population average weight.

8.The symbol (read as mu) is used to represent the population ______________

Variability in estimates

9.A natural way to _________________the population mean is to use a mean that is based on a sample, this sample mean is a __________ estimate of the population mean, .

10. The mean weight of 60 adults in a sample, = 173.3,if a different sample of 60 adults is takenand a sample mean is calculated, it is likely to be: __________________ (different or the same)

11.What is a good estimate of the difference in average weight between men and women given the sample statistics ?

12.Increasing the _____________size would provide more accurate point estimate of the population parameters (values)

13.If you take 1000 different samples of size 60 of weights from people in a population, the means would be close to each other but not all the same.If these weights were graphed with a histogram, what would be the shape of this histogram?

14. The distribution of is called the ________________ distribution of the sample mean.

15.What is the informal description of the Central Limit Theorem?

16.The standard error of the sample mean measures the ________________to _____________variability of

17.What is the formula for the standard error (SE) of the sample mean?(For the formula for SEfeel free to use "s" instead of sx )

Summary Point Estimate Terminology:

18.The population mean is represented by:_________

(Hint: to find the symbol for mu, sigma etc. in Word> Click Insert> Click Symbol (located on the far right in the tool bar)>click on the symbol)

19.The population standard deviation is represented by:_________

20.The distribution of random variable refers to the collection of sample means if the multiple samples of the ________________ ____________ were repeatedly drawn from a population

21. The mean of the random variable equals the __________________________

22.The standard deviation of is called the ________________ ________(SE) of the sample mean

23. A point estimate for the population parameter consists of a _______________value

24. An interval estimate provides a _______________ range of values for a population parameter

25.What is the general form of a confidence interval for ?

26. In the general form of the confidence interval, m represents the ______________of _________.

27.-m represents the ___________ bound and + m represents the ___________bound.

Confidence Interval Practice:

28. Based on a sample of size 50, 95% Confidence Interval for the mean height of men (in) is:

69.5 +/- 0.7 , or(69.5 - 0.7, 69.5 + 0.7) , it can also be written as: (68.8, 70.2)

29. Based on the confidence interval for the mean height of men above: the sample mean height= ____________the margin of error, m= ___________, the lower bound =______________, the upper bound =__________

Interpretation of 95% Confidence Interval

30. The 95% Confidence Interval for the mean height of men ( 68.8, 70.2), can be interpreted as we are ___________% confident that the mean height of men is between _______ and _______.1.What causes statistical methods to be not reliable?

2.Briefly define a simple random sample.

3.Briefly define stratified sampling.

4.Briefly define a cluster sample.

5.Briefly define a multistage sample.

Ch. 4

Review of the symbols:

Symbol

Read as

Represents

x-bar

The sample mean

mu

The population mean

sigma

The population standard deviation (measures the spread in the data

2

Sigma squared

The population variance

S

----------------

The sample standard deviation

S2

----------------

The sample variance

Ch. 4 Cont.

6.The average weight of all US adults would be considered what in the language of statistics?

7.The mean weight of the adults in a sample or a survey is an ________________of the population average weight.

8.The symbol (read as mu) is used to represent the population ______________

4.1 Variability in estimates

9.A natural way to _________________the population mean is to use a mean that is based on a sample, this sample mean is a __________ estimate of the population mean, .

10. The mean weight of 60 adults in a sample, = 173.3,if a different sample of 60 adults is takenand a sample mean is calculated, it is likely to be: __________________ (different or the same)

11.What is a good estimate of the difference in average weight between men and women given the sample statistics ?

12.Increasing the _____________size would provide more accurate point estimate of the population parameters (values)

13.If you take 1000 different samples of size 60 of weights from people in a population, the means would be close to each other but not all the same.If these weights were graphed with a histogram, what would be the shape of this histogram?

14. The distribution of is called the ________________ distribution of the sample mean.

15.What is the informal description of the Central Limit Theorem?

16.The standard error of the sample mean measures the ________________to _____________variability of

17.What is the formula for the standard error (SE) of the sample mean?(For the formula for SEfeel free to use "s" instead of sx )

Summary Point Estimate Terminology:

18.The population mean is represented by:_________

(Hint: to find the symbol for mu, sigma etc. in Word> Click Insert> Click Symbol (located on the far right in the tool bar)>click on the symbol)

19.The population standard deviation is represented by:_________

20.The distribution of random variable refers to the collection of sample means if the multiple samples of the ________________ ____________ were repeatedly drawn from a population

21. The mean of the random variable equals the __________________________

22.The standard deviation of is called the ________________ ________(SE) of the sample mean

4.2 Confidence Intervals

23. A point estimate for the population parameter consists of a _______________value

24. An interval estimate provides a _______________ range of values for a population parameter

25.What is the general form of a confidence interval for ?

26. In the general form of the confidence interval, m represents the ______________of _________.

27.-m represents the ___________ bound and + m represents the ___________bound.

Confidence Interval Practice:

28. Based on a sample of size 50, 95% Confidence Interval for the mean height of men (in) is:

69.5 +/- 0.7 , or(69.5 - 0.7, 69.5 + 0.7) , it can also be written as: (68.8, 70.2)

29. Based on the confidence interval for the mean height of men above: the sample mean height= ____________the margin of error, m= ___________, the lower bound =______________, the upper bound =__________

Interpretation of 95% Confidence Interval

30. The 95% Confidence Interval for the mean height of men ( 68.8, 70.2), can be interpreted as we are ___________% confident that the mean height of men is between _______ and _______.

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