# RESEARCH METHODOLOGY

## STATISTICAL TECHNIQUES AND TOOLS

### SAMPLING DISTRIBUTION

 Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting one data value less than 190?
 A 69% B 42% C 31% D 58%
Explanation:

Detailed explanation-1: -The mean and standard deviation of a population are 200 and 20 respectively. The probability of selecting one data value less than 190 is %. (Round answer to the nearest percent(whole number.Do not write the % sign. value less than 190 is 0.2%.

Detailed explanation-2: -Define your population mean (), standard deviation (), sample size, and range of possible sample means. Input those values in the z-score formula zscore = (X̄-)/(/√n). Considering if your probability is left, right, or two-tailed, use the z-score value to find your probability.

Detailed explanation-3: -The Central Limit Theorem gives us an exact formula. The standard deviation of the sampling distribution of means equals the standard deviation of the population divided by the square root of the sample size.

There is 1 question to complete.