# RESEARCH METHODOLOGY

## STATISTICAL TECHNIQUES AND TOOLS

### SAMPLING DISTRIBUTION

 Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a national study on transportation patterns, 1, 000 randomly selected adults will be asked the question:How many trips per week do you make to the grocery store? The sample mean will be computed. Let µ denote the population mean response to the question if everyone in the population is to be asked the question. Is the sample mean x unbiased for estimating µ?
 A Yes, because for random samples the mean (expected value) of the sample mean x is equal to the population mean µ. B Yes, because with a sample size of 1, 000 the standard deviation of the sample mean x is small. C Yes, because the wording of the question is not biased. D No, because the sample mean x does not always equal the population mean µ. E No, because number of trips to the grocery story is not normally distributed so the mean (expected value) of the sample mean x does not equal the population mean µ.
Explanation:

Detailed explanation-1: -There is about a 25% chance that a single jar will contain less than 16 ounces of peanuts.

Detailed explanation-2: -The central limit theorem states that the sampling distribution of the mean will always follow a normal distribution under the following conditions: The sample size is sufficiently large. This condition is usually met if the sample size is n ≥ 30.

There is 1 question to complete.