Estimation

Question 1

will be used to estimate the average income of the entire households in the city

Answer 1

sample mean

Question 2

. In other words, when a parameter of a given population is unknown, a sample data can be collected and used to make an ___of that unknown parameter.

Answer 2

estimate

Question 3

is the use of a suitable statistic and computes its value from a given sample data

Answer 3

point estimation

Question 4

The statistic use is called the

Answer 4

point estimator

Question 5

and the value of the statistic is called the

Answer 5

point estimate

Question 6

is the point estimator of the of the population parameter mean µ.

Answer 6

x ̅

Question 7

formula for sample mean

Answer 7

check reviewer

Question 8

is the estimator of the of the population parameter proportion

Answer 8

p hat

Question 9

formula of p hat

Answer 9

check reveiwer

Question 10

interval estimation for the population mean is used when (3)

Answer 10

(a)the population variance is known,
(b) the population variance is unknown, and
(c) the Central Limit Theorem is to be used.

Question 11

is the use of sample data to calculate a range of possible values for an unknown population parameter

Answer 11

interval estimation

Question 12

Unlike the point estimation that uses single value, interval estimation uses

Answer 12

interval value

Question 13

In practice, interval estimation is a better way to estimate parameters than point estimation due to

Answer 13

sampling error

Question 14

In the Philippines the National Statistics Office (NSO) conducts census every after ___years.

Answer 14

three

Question 15

provide parameters that characterizes the status of the country. Examples are gender statistics, average household income, average household size, etc. However, this process requires a lot of time and resources.

Answer 15

census

Question 16

NSO meaning

Answer 16

National Statistics Office

Question 17

The interval 11320≤μ≤22580 is the

Answer 17

confidence interval

Question 18

The lower limit of the interval, 11320, and the upper limit, 22580, are called the

Answer 18

confidence limits

Question 19

. The 95% level of confidence is called the

Answer 19

confidence level

Question 20

usual confidence level if no given

Answer 20

0.05

Question 21

The 5% level of error committed in estimating the mean is known as

Answer 21

alpha (a)

Question 22

is used to calculate an interval of possible values of the unknown population mean, µ, using sample data with some degree of confidence

Answer 22

interval estimation

Question 23

fomrula for confidence interval (z-table)

Answer 23

check your reviewer

Question 24

Given the following: x ̅=10, σ2=9, n=64

Z0.025 = 1.96

Answer 24

=9.265≤μ≤10.735

Question 25

states that as the sample size n increases or becomes large the sampling distribution of the mean approaches normal distribution.

Answer 25

central limit theorem

Question 26

We can assume that s2 = σ2 holds true when the sample size is large enough

how much n

Answer 26

n>30

Question 27

Because of this assumption, when the variance σ2 is unknown but the sample size is large, the ____ can be used to replace the σ2 in calculating confidence interval for mean µ.

Answer 27

sample variance

Question 28

is a probability distribution use to estimate population means when the sample size is small and variance is unknown but the distribution is assumed to be normal

Answer 28

t-distribution
or student’s t-distribution

Question 29

who derived t-distribution

Answer 29

William S. Gosset (1908)

Question 30

formula for t-statistic

Answer 30

see formula in reviewer

Question 31

formula of confidence interval using t-test

Answer 31

see reviewer

Question 32

states that if a sample of size n (sufficiently large enough) is randomly selected from a population of size N, and the number of x successes are observed, then the sampling distribution of the proportion p ̂ approaches a normal distribution

Answer 32

central limit theorem

Question 33

. Note that n is sufficiently large if

Answer 33

np≥10 and n(1-p)≥10

Question 34

population proportion formula

Answer 34

see reviewer

Question 35

confidence interval for population proportion p

Answer 35

see reviewer for details

Question 36

is the difference of the lower limit and the upper limit of the confidence interval.

Answer 36

length of an interval

Question 37

length of an interval formula

Answer 37

Length=UL-LL

Question 38

error formula

Answer 38

see reviewer

Question 39

is any statistic whose value is used to estimate an unknown parameter

Answer 39

estimator

Question 40

a realized value of an estimator is called an

Answer 40

estimate

Question 41

single value used to represent the parameter of interest

Answer 41

point estimate

Question 42

it corresponds to a single point in the real number line

Answer 42

point estimate

Question 43

a rule that tells us how to calculate two numbers based on a sample data, forming an interval within which the parameter is expected to lie

Answer 43

interval estimator

Question 44

pair of numbers (a,b) is caled an

Answer 44

interval estimate

Question 45

degree of certainty attached to an interval estimate for the unknown paramter

Answer 45

1-a