In a hypothesis test, the probability of making the wrong decision when the null hypothesis is true is called

The following data is available for two independent sample:

Then the value of t-statistic is :

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

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

The value of the t-statistics is :

In the formula for Z-test statistic $Z = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}$, mark the incorrect statement.

Which of the following statements are true ?

(A) Central limit theorem states that the sampling distribution of the mean $(\bar{x})$ approaches a normal distribution as the sample size increases.

(B) As per Central Limit Theorem, when the sample size increases, the mean $(\bar{x})$ for the data becomes closer to the mean of overall population.

(C) The shape of t-distribution does not depend on degree of freedom.

Choose the correct answer from the options given below :

Which of the following is a statistic ?