**Question 54 (Textile Technology & Fibre Science)**

The standard deviation of population P is two times the standard deviation of population Q. The size of a random sample from population P is four times the size of a random sample from population Q. If and denote the standard error of means of the samples from P and Q, respectively, then the ratio of to is __**1**__.

**[Show Answer]**

Write Here

**Given in the question-**

Let, standard deviation of the population **Q** =

Standard deviation of the population P

Let, the size of a random sample from population **Q**=

Then , the size of a random sample from population P=

Standard error of the mean of the sample P=

Standard error of the mean of the sample Q=**Formula**:

Where, and **N** =number of samples

Where, **X**=mean value

i.e.

**(Answer)**