there is no 11&13 so it is gonna be 38 questions. if you have any question, please let me know

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38 statistic questions

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QUESTION 1

1. Using the standard normal distribution table, compute P(Z=1.87)

2. .4938

.0603

.0013

.0307

QUESTION 2

1. Using the standard normal distribution table, compute P(Z=2.5)

.9599

.9938

.8750

.3653

QUESTION 3

1.

Using the standard normal distribution table, compute P(-1.5Z=1.8)

2.

.0309

.0476

.8973

.5637

QUESTION 4

1. Given that X ~N(µ=10,s=5) compute P(X=15)

.3413

.1587

.2456

.5713

QUESTION 5

1. Given that X ~N(µ=10,s=5) compute P(10=Z=17)

.2742

.4368

.4332

.4192

QUESTION 6

1. Given that X ~N(µ=10,s=5) compute P(X=10)

.5

,347

.000

.208

QUESTION 7

1. Scores of the first test in ECON 261 follow a normal distribution with mean 70 and

standard deviation 5. Compute P(X=60).

.0228

.9772

.9862

.1325

QUESTION 8

1. Scores of the first test in ECON 261 follow a normal distribution with mean 70 and

standard deviation 5. Compute P(X<85).
.9482
,6343
,4987
,9987
QUESTION 9
1. Scores of the first test in ECON 261 follow a normal distribution with mean 70 and
standard deviation 5. Compute P(65Z0)=.025
2.57
1.96
1.64
1.87
QUESTION 14
1. Using a normal distribution table, find Z0 such that: P(Z<-Z0) = .9868
1.96
-1.64
-2.22
2.17
QUESTION 15
1. The random sample X is normally distributed with mean 40 and standard deviation of
16. If n = 256, compute: P(x¯>42)

.4938

.4772

.0062

.0228

QUESTION 16

1. The random sample X is normally distributed with mean 40 and standard deviation

of 16. If n = 256, compute: P(3738)

.5080

.4772

.9772

.6038

QUESTION 18

1. A sample of n = 400 observations is drawn from a population with mean of 1000 ( µ =

1000) and standard deviation of 400 ( s = 400 ). Find P(x¯<1030).
.9332
.3896
.9772
.8405
QUESTION 19
1. A sample of n = 400 observations is drawn from a population with mean of 1000 ( µ =
1000) and standard deviation of 400 ( s = 400 ). Find P(9601060).
.0567
.4356
.0023
.0013
QUESTION 21
1. Random samples of size 1600 are taken from a population whose mean is 120 ( µ =
120 ) and standard deviation is 40 ( s = 40 ). The mean and the standard error
of x¯ (sample mean) are respectively ...
(120,2)
(40,120)
(120,1)
(180,102)
QUESTION 22
1. In the construction of a confidence interval for a population mean, if all else constant,
an increase in the sample size will produce an interval that is ...
Unchanged
Narrower
Wider
Taller
QUESTION 23
1. The standard deviation of x¯ is called
The standard deviation of X
The standard deviation of the population
The standard error of X
The mean deviation of X
QUESTION 24
1. The Z-value associated with a 98% confidence interval is ...
2.33 or 2.34
3.84 or 3.8
2.57 or 2.58
1.28 or 1.27
QUESTION 25
1. The z-value associated with a 95% confidence interval is ...
1.83
1.96
1.94
2.22
QUESTION 26
1. The entire group of persons, places, or items that we want to collect observations from
is known as ...
Frame
Sample
Population
Sample Space
QUESTION 27
1. A sample wherein all items in a population have the same chance of being selected for
inclusion in the sample is a ...
Population sample
Cluster sample
Random sample
Good sample
QUESTION 28
1. A sampling distribution of the sample statistic x¯ is a ...
Random sampling ox¯
Population sampling of x¯
Population distribution of x¯
Probability distribution of x¯
QUESTION 29
1. x¯ = 30
s=9
n = 100
The 90% confidence interval for µ is ...
(18.325,31.642)
(28.041, 21.965)
(27.841, 36.457)
(28.524, 31.476)
QUESTION 30
1.
2.
x¯ = 30
s=9
n = 100
The 95% confidence interval for µ is ...
(28.043, 31.962)
(27.681, 22.474)
(28.236, 31.764)
(28.674, 32.870)
QUESTION 31
1.
2.
x¯ = 30
s=9
n = 100
The 95% confidence interval for µ is ...
(27.687, 32.313)
(27.912, 32.109)
(18.651, 31.972 )
(28.617, 32.326 )
QUESTION 32
1. Given =20, s =5 and n=25, construct the following confidence interval for µ: 90%
confidence interval
(18.16, 22.65)
(23.24, 26.73)
(18.36, 21.64 )
(22.45, 26.09)
QUESTION 33
1. Given =20, s =5 and n=25, construct the following confidence intervals for µ: 95%
CI
(17.93, 22.06)
(18.04, 21.96)
(23.69, 26.34)
(20.54, 25.48)
QUESTION 34
1. Given =20, s =5 and n=25, construct the following confidence intervals ... The 99%
confidence interval for µ is:
(17.66, 27.04)
(18.53, 24.94)
(21.08, 27.87)
(17.43, 22.57)
QUESTION 35
1. Given a population with three observations: 2, 4, and 6 ...
The population mean µ of the observations is:
2
3
4
6
QUESTION 36
1.
Given a population with three observations: 2, 4, and 6 ...
The population variance, Var(X)=s2 of the observations is:
4/3
2/3
1/3
8/3
QUESTION 37
1. Given a population with three observations: 2, 4, and 6 ...
If a sample of n=2 data set is selected from this population of data, the mean of the
sampling distribution of x¯, that is E(x¯) is
7
4
3
6
QUESTION 38
1.
Given a population with three observations: 2, 4, and 6 ...
If a sample of n=2 data set is selected from this population of data, the variance of the
sampling distribution of x¯, that is Var(x¯) is
4/3
2/3
1/3
8/3
QUESTION 39
1. As the sample size n increases, the sampling error ...
Increases
Decreases
Remains unchanged
Converges to infinity
QUESTION 40
1. The closer the sample mean is to the population mean ...
The larger the sampling error
The sample error is zero
The smaller the sampling error
The sampling error is infinite
...
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