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 denote the population mean response to the question if everyone in the population is to be asked the question. Is the sample mean unbiased for estimating ?

Step-by-step explanation: In a randomized experiment, sample distribution is representative of the population distribution, sample distribution is employed when reaching or involving the entire population in a research, study or experiment is impossible either due to logistics, cost or other constraints. Randomized samples involves that all subjects in the population have equal chances of being selected as part of the sample distribution.

The sample mean is EQUAL to the POPULATION mean for randomized samples.

jayilych4real jayilych4real · Answer 2 · 2022-01-20T11:59:44+01:00

The question of whether the sample mean is unbiased is:

Yes, it is unbiased.

When a random experiment is done, we can see that there is the use of sample distribution as it is used to make a study on a given population to get some results.

With this in mind, we can see that based on the randomized study of the transportation patterns, we can see that 1,000 adults are selected and asked some questions and a sample mean of their results are computed.