Suppose in a certain large group, the height is approximately normally distributed with a mean of 160 cm and the standard deviation is 10. For a sample of size 16, the sampling distribution of sample mean has standard error equal to:
2.5
The standard error (SE) of the sample mean is given by the formula:
SE = σ / √n,
where σ is the population standard deviation, and n is the sample size.
Substituting the values:
SE = 10 / √16 = 10 / 4 = 2.5.
Thus, the standard error is 2.5.
Similar Questions
Which of the following is NOT an example of the probability sampling technique?
A completely randomised design is based on the principles of ______ and randomisation only.
A sample of 30 latest returns on UTI stock reveals a mean return of $4 with a sample standard deviation of $0.13. The estimated standard error of the sample mean is:
In a cluster sampling wherein the units within same cluster are highly correlated, suppose \(S_w^2\) represents the variance within the clusters and \(S_b^2\) between clusters, then which option is correct?
In some of the real-life situations, a researcher has to explore two or more treatments at the same time. This type of experimental design is referred to as:
In the construction of cost of living index, commodities are selected by:
If 4, 5, 6, 6, 6, 6, 6, 6, 6, 7 be a random sample from a Poisson population with parameter λ, then an unbiased estimate of λ is:
The data taken from the publication "sankhya" will be considered as:
Important Questions from Sampling Theorems
Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is
Three cards were drawn from a pack of 52 cards. The probability that they are a king, a queen, and a jack is
A population (with mean $\mu$) follows normal distribution. Ten samples (N) are drawn at random with a mean value of “x” and standard deviation of “S”. Following table provides the confidence limits, C(t) of the cumulative probability function for Student's t - distribution two-tailed test with degree of freedom, D.
C(t)
D 0.9 0.95 0.975 9 1.38 1.83 2.26 10 1.37 1.81 2.23 11 1.36 1.80 2.20 Which one of the following expression is correct for testing the null hypothesis $H_0: \mu = 0$ at $10\%$ significance level?
- If the sample size ($n$) is 25 and the standard deviation ($\sigma$) of population is 2, then the standard error (SE) of sample mean, (rounded off to one decimal place), is ________.
The probability distribution function of a random variable $X$ is shown in the following figure.
From this distribution, random samples with sample size $n = 68$ are taken. If $\bar{X}$ is the sample mean, the standard deviation of the probability distribution of $\bar{X}$, i.e. $\sigma_{\bar{X}}$ is ________ (round off to 3 decimal places).
