Statistics

Statistics

University

10 Qs

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Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

Baby A K

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which theorem states that the larger the sample size, the closer the sample mean will be to the mean of the population?

Central limit theorem

Law of averages

Law of large numbers.

Chebyshev's inequality

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Considering the set of observations, the percentage of values that lies within two standard deviations of the population mean is

68%

55%

95%

99.7%

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The abbreviation of i.i.d stands for

independent and identically distributed

identically and independently distributed

both

none of these

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In central limit theorem, the random variables are assumed to be

independent

identical

with same means and same variances

all the above

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If Xn converges to 'a' in probability as the sample size increases, then which of these statements are true

(i) for any ε>0, P{|Xn-a|>ε}→1 as n→∞

(ii) for any ε>0, P{|Xn-a|<ε}→0 as n→∞

(i) only

(ii) only

both (i) and (ii)

neither (i) nor (ii)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The Central Limit Theorem says that the sampling distribution of the sample mean is approximately normal if

all possible samples are selected

the sample size is large

the standard error of the sampling distribution is small

the sample size is small

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The Central Limit Theorem says that the mean of the sampling distribution of the sample means is

equal to the population mean divided by the square root of the sample size

close to the population mean if the sample size is large

exactly equal to the population mean

close to the population mean divided by the square root of the sample size

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