For the following data from the simple random sample: 4, 7, 9, 8, 11, 15, the point estimate of the population mean will be

The central limit theorem states that the sampling distribution of the sample mean approaches the 'X' distribution, as the sample size gets larger, no matter what the shape of the population is, then 'X' is

Which of the following statements are correct?

A. The measurable characteristic of a population is called parameter.

B. Sample is a subgroup of members of the population.

C. Population is a collection of all elements having the same characteristics.

D. The difference between a population parameter and a sample statistic is known as sampling error.

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

A simple random sample of 49 items from a population with standard deviation, σ = 6 resulted in a sample mean of 32. At 95% confidence level, the margin of error is (Given $Z_{0.025} = 1.96$)

Consider the following hypothesis test:

$H_0: \mu \leq 16$

$H_a: \mu > 16$

A sample of 25 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $s = 3.5$, then the value of the test statistic in $t$-test is:

The normal distribution is called as standard normal distribution when