If a sample has 'n' observation $x_1$, $x_2$ ............. $x_n$ with 'm' constraints on these values then degree of freedom of sample statistic is:

Match List-I with List-II

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The simple random sample consists of six observations: 5, 8, 10, 7, 10, 14. The point estimate of the population mean is:

The value of t-statistic for the following data as Population mean is 51, Sample mean is 54, Sample size is 10 and sample variance is 36, is:

In reference to the Inferential Statistics, which of the following statements are correct?

A. The number of degrees of freedom of a statistic is the number of independent varieties used to compute the statistic.

B. A confidence interval is a range that could be expected to contain the population parameter of interest.

C. In a hypothesis test, the significance level is the probability of making wrong decision when the null hypothesis is true.

D. The confidence level of the sampling distribution of a statistic is known as its standard error.

Choose the correct answer from the options given below:

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

A 95 % confidence interval states that the population mean is greater than 152 and less than 160. If $\sigma = 15$ and $Z_{0.025} = 1.96$, then what sample size was used in the study?