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Question 11 Mark
When can the systematic random sample be biased ?
Answer
When hidden periodicity in population coinsides with the selection of sample. The systematic random sample can be biased.
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Question 21 Mark
When is the use of stratified random sampling considered to be favourable or suitable ?
Answer
When the population is heterogeneous the use of stratified random sampling considered to be favourable or suitable.
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Question 31 Mark
What do you mean by a sample without replacement ?
Answer
A sample in which each unit is selected from the population without replacing the unit selected earlier in the population is called a sample without replacement.
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Question 41 Mark
What is meant by population inquiry ?
Answer
If information of all the units of population is obtained, then it is called population inquiry.
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Question 61 Mark
Which table of random numbers is most commonly used ?
Answer
$L.H.C.$ Tippet’s table of random numbers is most commonly used.
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Question 71 Mark
In which sampling method, units are selected from the population at uniform intervals ?
Answer
In systematic sampling method, units are selected from the population of uniform intervals.
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Question 81 Mark
Which sampling should be used when each group considered has small variation within itself but there is wide variation between different groups ?
Answer
Stratified random sampling should be used when each group considered has small variation within itself but there is wide variation between different group.
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Question 91 Mark
Define sample statistics.
Answer
The measures such as mean, standard deviation, etc. calculated from the numerical data obtained from sample units are called sample statistics.
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Question 101 Mark
Define parameters of the population.
Answer
The measures for population such as population mean, Population standard deviation. etc. are called parameters of the population.
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Question 111 Mark
lf the two - digit random numbers are given and population size is of three digits, how will random numbers be used for selecting the sample ?
Answer
If the two - digit random numbers are given and population size is of three digits, then considering two-digits of a column and first digit of the next column the sample is selected.
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Question 121 Mark
If the three - digit random numbers are given and population size is of two digits, how will random numbers be used for selecting the sample ?
Answer
If the three-digit random numbers are given and the population size is of two digits. then for selecting the sample, the first two digits of random numbers is considered.
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Question 131 Mark
Give an example an inquiry where units are destroyed during inspection.
Answer
Life of electric bulb is an example of an inquiry where units are destroyed during inspection.
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Question 141 Mark
Define heterogeneous population.
Answer
When there is considerable amount of variation among the units of population, then it is called heterogeneous population.
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Question 151 Mark
What is the process by which inference about a population is made from sample information ?
Answer
The process by which inference about a population is made from sample information is sampling.
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Question 171 Mark
A sampling method that divides the Population into homogeneous groups from which random samples are drawn is known as systematic sampling
Answer
False
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Question 181 Mark
In simple random sampling method, each unit of the population has an equal chance of beings included in the sample.
Answer
True
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Question 191 Mark
When properties of the units of the population have more dissimilarity, the use of Stratified random sampling method is advantageous.
Answer
True
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Question 221 Mark
A sampling plan that selects units from a population at uniform intervals in time value or position is called stratified sampling.
Answer
False
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Question 231 Mark
Why preference is given to sample inquiry instead of population inquiry?
Answer
Preference is given to sample inquiry instead of population inquiry because a population inquiry involves more time, money and manpower.
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Question 251 Mark
How is the sampling interval obtained?
Answer
The sampling interval is obtained by taking the ratio of population size $N$ and sample size $n$. It is denoted by $k$. i. e. $k=\frac{N}{n}$.
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Question 261 Mark
How is the systematic sampling as compared to simple random sampling and stratified random sampling?
Answer
As compared to simple random sampling and stratified random sampling, the systematic sampling requires less time and labour to select the sample.
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Question 271 Mark
How are the units of systematic sample spread over the population?
Answer
The units of systematic sample are evenly spread over the population.
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Question 281 Mark
When is the systematic sampling advisable to use?
Answer
When all the units of population are arranged in some systematic manner and the complete list of population units is available, then it is advisable to use the systematic sampling.
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Question 291 Mark
How is the first unit of systematic sampling selected?
Answer
The first unit of systematic sample is selected at random.
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Question 301 Mark
In which sampling method is administrative convenience more?
Answer
In stratified random sampling administrative convenience is more.
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Question 311 Mark
When does the reliability of the results obtained in stratified random sampling decrease?
Answer
When stratification is not proper, then the reliability of the results obtained in stratified random sampling decreases.
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Question 321 Mark
What is proportional allocation?
Answer
When the number of units selected from the stratum is proportional to the size of stratum, then it is called proportional allocation.
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Question 331 Mark
In which circumstances is simple random sampling not a good representative of population?
Answer
When population is heterogeneous and the sample size is small, simple random sampling is not a good representative of population.
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Question 341 Mark
When is the method of simple random sampling not useful?
Answer
When the list of all units of population is not available the simple random sampling is not useful.
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Question 351 Mark
When is the work of selecting a random sample becomes tiresome?
Answer
When the population is very large the work of selecting a random sample becomes tiresome.
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Question 361 Mark
In modern times how is a random sample drawn?
Answer
In modern times a random sample is drawn using a mechanical device.
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Question 371 Mark
When will there be no bias in lottery method?
Answer
When all slips are similar in colour, size and shape, there will be no bias in lottery method.
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Question 381 Mark
State the names of random numbers tables.
Answer
The random numbers tables are:
$(1)$ Prof. $L.H.C.$ Tippet’s tables,
$(2)$ Prof. Fisher and Yate’s tables and
$(3)$ Rand Corporation of America’s tables.
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Question 391 Mark
When and which statistician had prepared first the random numbers tables?
Answer
In $1927$, the statistician Prof. $L.H.C.$ Tippet had prepared first the random numbers tables.
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Question 401 Mark
Which is the scientific method of selecting a simple random sample?
Answer
The method of ‘random numbers tables’ is the scientific method of selecting a simple random sample.
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Question 411 Mark
When can a simple random sample be a representative sample of population?
Answer
When a population is homogeneous then a simple random sample can be a representative sample of population.
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Question 421 Mark
When are the results obtained from the simple random sampling reliable?
Answer
If the population is fairy homogeneous, simple random sampling gives reliable results.
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Question 431 Mark
For the purpose of sampling what is considered as population?
Answer
For the purpose of sampling a population is considered as a group of various observations.
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Question 441 Mark
What is important in determining the size of the sample?
Answer
In determining the size of the sample, the expected level of accuracy of sample results is important.
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Question 451 Mark
What should be the size of an ideal sample?
Answer
The size of an ideal sample should be adequate and determined in an appropriate manner.
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Question 461 Mark
State the main objective of sampling.
Answer
The main objective of sampling is to draw Inferences about the population characteristics on the basis of a sample inquiry.
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Question 471 Mark
Why do the errors creep into the population inquiry?
Answer
The errors creep into the population inquiry because the population inquiry is extensive and complicated.
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Question 481 Mark
Write one example of sampling.
Answer
The process of selecting a few units from the total production to check the quality of the units produced is sampling.
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Question 491 Mark
Give one illustration of sample inquiry.
Answer
Checking of one drop of blood from the body of a person to know the blood group of a person is sample inquiry.
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Question 501 Mark
What is sample with replacement?
Answer
A sample in which each unit is selected from the population after replacing the units selected earlier in the population is called a sample with replacement.
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1 Marks Each - Statistics STD 11 Commerce Questions - Vidyadip