The standard error of sample mean based on 100 observations from normal distribution with mean 50 and standard deviation 5 is ............ .
\(\frac{1}{2}\)
The standard error of the sample mean is the standard deviation of the sampling distribution of the mean: SE = sigma / square root of n.
Here sigma = 5 and n = 100, so SE = 5 / square root of 100 = 5 / 10 = 1/2 = 0.5.
The population mean (50) does not enter the formula for standard error.
Hence, the answer is 1/2.
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Important Questions from Sample - Teaching
- Which of these statements does NOT describe snowball sampling correctly?
A. It is a non-probability sampling technique.
B. It is used when the target population is readily available.
C. Initial participants refer others to take part in the study.
D. It ensures equal chance of selection for all individuals.
E. It is commonly used in sociological and qualitative research.
Choose the correct answer from the options given below: - Assertion (A): The larger the sample size, the greater will be the power of the test.
Reason (R) : A large sample size results in smaller standard error of mean.
Codes : - Given below are two statements, one labelled as Assertion (A) and the other labelled as Reason (R). Read the statements and choose the correct answer using the code given below.
Assertion (A) : Findings of a research based on a large sample size of a population being studied can always be generalized to the whole population.
Reason (R) : Sample size does not ensure representativeness. - In a Random Sampling distribution of means :
I. The standard error will decrease as the sample size increases.
II. The standard error will increase as the sample size increases.
III. The mean equals the population mean.
IV. The mean is not equal to the population mean. In a study, participants are recruited from local schools in urban area. The study is conducted on saturday so only the saturday working school take part. What type of sample is this ?
