Question

A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.

Answer 1

There are different variations in population size.  The best reason why the simulation of the sampling distribution is not approximately normal is that The sample size was not sufficiently large.

What takes place if a sample size is not big enough?

• When a sample size taken by a person or a researcher  is not big or inadequate for the alpha level and also analyses that one have chosen to do,  it will limit the study statistical power.

Due to the above, the ability to know a statistical effect in one's sample if the effect are present in the population is greatly reduces.

See full options below

Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?

A The samples were not selected at random.

B The sample size was not sufficiently large.

с The population distribution was approximately normal.

D The samples were selected without replacement.

E The sample means were less than the population mean.

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