Samacheer Kalvi solutions for Business Mathematics and Statistics [English] Class 12 TN Board chapter 8 - Sampling techniques and Statistical Inference [Latest edition]

What is population?

What is sample?

What is statistic?

Define parameter

What is sampling distribution of a statistic?

What is standard error?

Explain in detail about simple random sampling with a suitable example

Explain the stratifi ed random sampling with a suitable example

Explain in detail about systematic random sampling with example

Explain in detail about sampling error

Explain in detail about non-sampling error

State any two merits of simple random sampling

State any three merits of stratified random sampling

State any two demerits of systematic random sampling

State any two merits for systematic random sampling

Using the following Tippet’s random number table

Draw a sample of 10 three-digit numbers which are even numbers

 A wholesaler in apples claims that only 4% of the apples supplied by him are defective. A random sample of 600 apples contained 36 defective apples. Calculate the standard error concerning of good apples

A sample of 1000 students whose mean weight is 119 lbs (pounds) from a school in Tamil Nadu State was taken and their average weight was found to be 120 lbs with a standard deviation of 30 lbs. Calculate the standard error of the mean

A random sample of 60 observations was drawn from a large population and its standard deviation was found to be 2.5. Calculate the suitable standard error that this sample is taken from a population with standard deviation 3?

In a sample of 400 population from a village 230 are found to be eaters of vegetarian items and the rest non-vegetarian items. Compute the standard error assuming that both vegetarian and non-vegetarian foods are equally popular in that village?

Mention two branches of statistical inference

What is an estimator?

What is an estimate?

What is point estimation?

What is interval estimation?

What is confidence interval?

What is null hypothesis? Give an example

Define alternative hypothesis

Define critical region

Define critical value

Define the level of significance

What is a type I error?

What is single tailed test

A sample of 100 items, draw from a universe with mean value 4 and S.D 3, has a mean value 63.5. Is the difference in the mean significant at 0.05 level of significance?

A sample of 400 individuals is found to have a mean height of 67.47 inches. Can it be reasonably regarded as a sample from a large population with a mean height of 67.39 inches and standard deviation of 1.30 inches?

The average score on a nationally administered aptitude test was 76 and the corresponding standard deviation was 8. In order to evaluate a state’s education system, the scores of 100 of the state’s students were randomly selected. These students had an average score of 72. Test at a significance level of 0.05 if there is a significant difference between the state scores and the national scores

The mean breaking strength of cables supplied by a manufacturer is 1,800 with a standard deviation of 100. By a new technique in the manufacturing process it is claimed that the breaking strength of the cables has increased. In order to test this claim a sample of 50 cables is tested. It is found that the mean breaking strength is 1,850. Can you support the claim at 0.01 level of significance?

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A ______ may be finite or infinite according as the number of observations or items in it is finite or infinite

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A ______ of statistical individuals in a population is called a sample

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A finite subset of statistical individuals in a population is called ______

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Any statistical measure computed from sample data is known as ______

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A ______ is one where each item in the universe has an equal chance of known opportunity of being selected

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A random sample is a sample selected in such a way that every item in the population has an equal chance of being included

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Which one of the following is probability sampling

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In simple random sampling from a population of units, the probability of drawing any unit at the first draw is

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In ______ the heterogeneous groups are divided into homogeneous groups

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Errors in sampling are of

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The method of obtaining the most likely value of the population parameter using statistic is called ______

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An estimator is a sample statistic used to estimate a

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______  is a relative property, which states that one estimator is efficient relative to another

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If probability `"P"[|vectheta - theta| < ε] -> 1` as `"n" -> oo` for any positive ε then `vectheta` is said to ______ estimator of `theta`

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An estimator is said to be ______ if it contains all the information in the data about the parameter it estimates

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An estimate of a population parameter given by two numbers between which the parameter would be expected to lie is called an ______ interval estimate of the parameter

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A ______ is a statement or an assertion about the population parameter

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Type I error is

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Type II error is

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The standard error of sample mean is

Explain the types of sampling

Write short note on sampling distribution and standard error

Explain the procedures of testing of hypothesis

Explain in detail the test of significance of a single mean

Determine the standard error of proportion for a random sample of 500 pineapples was taken from a large consignment and 65 were found to be bad

A sample of 100 students is drawn from a school. The mean weight and variance of the sample are 67.45 kg and 9 kg. respectively. Find (a) 95% (b) 99% confidence intervals for estimating the mean weight of the students

The mean I.Q of a sample of 1600 children was 99. Is it likely that this was a random sample from a population with a mean I.Q 100 and standard deviation of 15? (Test at 5% level of significance)