The monthly salaries of workers in a garment factory are normally distributed. The mean salary is ₹ 10,000 and standard deviation is ₹ 625. If 2,500 workers are getting salary less than ₹ 10,000, then the total number of workers in the factory is:

If the following data is obtained from a simple random sample:

6, 7, 9, 10, 11, 17

Then the point estimate of population standard deviation is:

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:

The normal distribution is called as standard normal distribution when

Consider the following hypothesis test:-

H₀: μ = 20

H₁: μ ≠ 20

A sample of 40 provided a sample mean of 19. The standard deviation is 3. Then the value of the t-test statistic is:

A simple random sample of 64 items from a population with standard deviation $\sigma=4$ resulted in a sample mean of 35. What is the margin of error for the population mean at a 95% confidence level? (Given $Z_{0.025}=1.96$)

The following data is from a simple random sample :

$15,23, x, 37,19,32$

If the point estimate of the population mean is $23$, then the value of $x$ is :