Question: Analyze simple random samples. The CSDATA data set contains the college grade point averages (GPAs) of all 224 students in a university entering class who

Analyze simple random samples. The CSDATA data set contains the college grade point averages

(GPAs) of all 224 students in a university entering class who planned to major in computer science.

This is our population. Statistical software can take repeated samples to illustrate sampling variability.

(a) Using software, describe this population with a histogram and with numerical summaries. In particular, what is the mean GPA in the population?
This is a parameter.

(b) Choose an SRS of 20 members from this population. Make a histogram of the GPAs in the sample and find their mean. The sample mean is a statistic. Briefly compare the distributions of GPA in the sample and in the population.

(c) Repeat the process of choosing an SRS of size 20 four more times (five in all). Record the five histograms of your sample GPAs. Does it seem reasonable to you from this small trial that an SRS will usually produce a sample that is generally representative of the population?

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