Question

A group of crafters is collecting data on the amount of yarn they use for each scarf knitted. Each person collected 12 pieces of data and will compile that data to determine a population mean. One crafter, Chris, has a sample mean of 200 meters of yarn.Which statement must be true about this situation?OA. The population mean is also 200.ОВ.The population mean must be less than 200.OC. The population mean must be greater than 200OD. There is not enough information to make a conclusion about the population mean

Answer 1

In statistics, a sample is a portion of the populations the researcher is interested in, normaly called "study population".

The sample will always be smaller than the population, especially if the population is infinite or so big that seems infinite but it always will be big enough to be representative of said population. Normally a sample around 10% of the is accepted to be big enough to make statistical analysis.

From the group of crafters, Chris colected 12 pieces of data (that is his sample) and from that sample he calculated a sample mean of 200 meters of yarn.

This information alone just tells you that the average length of the yarns Chris sampled is 200 meters, to make conclusions about the population you have to conduct a more detailed analysis (called hypothesis test)

With all this in mind, the correct option is the last one:

There is not enough information to make a conclusion about the population mean