Match List-I with List-II

List-I (Types of Probability Sampling)	List-II (Characteristic)
(A) Simple random sampling	(I) Every member of the population is arranged in a particular order. The first member is selected at random and then the remaining members are selected at regular intervals.
(B) Systematic sampling	(II) The population is divided into subgroups and each subgroup has similar characteristics of the whole population.
(C) Stratified sampling	(III) Every member of the population has an equal chance of being selected.
(D) Cluster Sampling	(IV) The population is divided into subgroups based on the relevant characteristics

Choose the correct answer from the options given below:

The sampling distribution of the sample mean approaches a normal distribution as the sample size gets larger, no matter what is the shape of the population distribution.

The above statement is:

A simple random sample of 49 items from a population with standard deviation 10 resulted in a sample mean of 25. Then the 95% confidence interval for population mean are :

(Given $z_{\alpha/2} = 1.96$ where $\alpha = 0.05$)

With reference to sampling, which of the following are correct?

(A) Simple random sampling is probability sampling

(B) Snow-ball sampling is non-probability sampling

(C) Stratified sampling is probability sampling

(D) Cluster sampling is non-probability sampling

Choose the correct answer from the options given below:

If $x_1, x_2, x_3, ..., x_n$ are n observations in a sample then which of following is/are TRUE?

(A) The mean $\bar{x}$ has n degree of freedom

(B) The mean $\bar{x}$ has (n-1) degree of freedom

(C) The standard deviation of the sample has (n-1) degree of freedom

(D) The standard deviation of the sample has n degree of freedom

Choose the correct answer from the options given below:

If 95% confidence interval for the population mean was reported to be 140 to 150 and $\sigma = 25$, then size of the sample used in this study is:

[Given: $Z_{0.025} = 1.96$]

If the average rainfall in a given area is 8 inches and the following table represents the average rainfall for four consecutive years, then the value of test statistic 't' is_____.