A local convenience store in a large city closes each day at 10 P.M. The owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 P.M. The owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. The sample mean was $11.50. The owner will conduct a one-sample tt-test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.
B. No, the sample was not chosen using a random method.
C. No, the sample size is greater than 10 percent of the population.
D. No, the sample size is not large enough to assume normality of the sampling distribution.
E. No, the distribution of the sample is not normal.

You can use the fact that there are three important conditions necessary for doing inference. They are randomness, independence and normality of the distribution.

The correct option is:

Option B: No, the sample wasn't chosen using a random method.

What are the necessary conditions for inference to be done?

There are three necessary conditions which must be met to do inference.

They are:

Randomness of the sample,
The distribution should approximate normal distribution
The samples taken and their observations need to be independent of each other.

Are all conditions met in the given context for inference?

No. Since the owner asked members of a specific civic group, thus, it was not a random selection of people as people come from whole population living near that convenience store and not only a specific civic group.

Thus,

Option B. No, the sample was not chosen using a random method.

Learn more about conditions of inference here:

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