A Simple random sample consists of four observation 1, 3, 5, 7. The point estimate of population standard deviation is

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

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

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

Statistical inference is a process through which inference about the population are made based on informations obtained from the:

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 :

Consider the following hypothesis test:

$H_0: \mu \leq 35$

$H_a: \mu > 35$

A sample of 25 provided a sample mean of 34.65. The population standard deviation is 4. The value of the t-test statistic is