Which of the following is false about the central limit theorem

For testing the difference between the means of two samples, the following data is available :

The value of the t-statistics is :

The assumption opposite of what is made in the null hypothesis is known as the _________ hypothesis.

Match List - I with List - II.

Choose the correct answer from the options given below :

A simple random sample consists of three observations 1, 3, 5. The point estimate of the population standard deviation is :

T- test : A t- test is a test of difference for parameter data $t = \frac{\overline{x1} - \overline{x2}}{s\sqrt{\frac{1}{n1} + \frac{1}{n2}}}$

Then read the following statements and choose the correct statements

(A) the null hypothesis and the alternative hypothesis have the same viewpoint

(B) In t- test testing the significance of mean value is done, when sample size is small

(C) T - test for two independent groups when variance is equal

(D) Testing is a process used by statisticians to accept or reject the hypothesis

(E) if the value of test statistics is greater than the table values, we do not reject the null hypothesis

Choose the correct answer from the options given below :

Given that the mean of the normal variate X is 10 and the standard deviation is 2, then what will be the z-score of the data point 16 ?