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Week 1 · Discussion: Traditional alternative (no AI)

Week 1 Discussion — Who Was Actually Measured? — Traditional alternative (no AI)

Introduction to Statistics Free sample edition
Traditional alternative (no AI), unpublished. In the course this is a separate discussion that ships unpublished beside the adaptive discussion: same objective, no AI. An instructor who prefers it publishes it and unpublishes or deletes the adaptive one, as the note at its top says.

Instructors: publish this instead of the adaptive version if you prefer, and unpublish or delete the adaptive one.

Hook

Every number you meet in a headline, an ad, or a workplace report came from some group of people, places, or things — and that group is rarely everyone. This week you learned to ask who the population is, who was actually measured, and how they were chosen. That question is where a trustworthy number and a misleading one part ways.

Your discussion question — choose Option A or Option B; they carry the same weight and the same rubric, and you say which you picked.

Option A: Pick a real claim built on data — from the news, an ad, your job, or your own life (a star rating, a poll result, a "most customers prefer" line). Who is the population the claim is about, who was actually measured, and how were they chosen? Would you trust the claim, and what one fact about how the data were gathered would change your mind?

Option B: Pick a question you genuinely care about in your community, workplace, or campus. Design a sample to answer it: name the population, choose one of this week's sampling methods, and name the bias your design is most at risk of. Why is your plan better than asking whoever is easiest to reach?

There is no single right answer here. A gym's "members love our classes" banner, a city survey of bus riders, or a plan to ask your coworkers about a new schedule can all be argued well in more than one direction. Pick one you actually care about, and tell us the story.

Expectations

Activity format: one initial post followed by two substantive peer replies. Plan on about 45 minutes across the two deadlines; your instructor sets both due dates in Canvas.

Your initial post — by the first due date (early in the module week):

  • Say which option you chose.
  • Name the population and the sample, and say how the individuals were (or would be) chosen.
  • Use at least two of this week's terms (population, sample, parameter, statistic, simple random, stratified, cluster, systematic, convenience, voluntary response, bias) correctly.
  • Give your trust judgment or your design choice, with a reason.
  • Length: roughly 150–250 words if written. You may instead record your post as audio or video (about two minutes) and attach a transcript; both forms are scored by the same rubric.

Your replies — by the second due date (the end of the module week):

  • Reply substantively to at least two classmates.
  • A substantive reply does more than agree: name a bias risk the poster missed, suggest a sampling method that would fix it, or ask what the population really is. "Nice point!" on its own does not count.

What a strong post looks like:

I chose Option A. My gym posts that "most members love our classes," based on a comment card box at the front desk. The population is every member, but the sample is only members who chose to fill out a card — a voluntary-response sample. People who love or hate the classes are likeliest to write, so even a thousand cards would keep that lean. I would trust the claim more if the gym surveyed members chosen at random from its member list.

Notice how it names the population, the sample, the sampling method, and the bias, and gives a fix. That is the bar.

Participation rubric

This discussion is worth 10 points. The three criteria below look at your initial post and your peer replies.

How the 10 points of this discussion are earned
Criterion Full credit Partial credit No credit
Quality of the initial post (4 pts) A real, specific example in which the population, the sample, and the way individuals were chosen are named and the judgment is explained An example is present, but the population and sample are blurred or the judgment is asserted without a reason Missing, off-topic, or no reasoning about who was measured
Use of course concepts (3 pts) Uses population, sample, a named sampling method, and bias precisely and correctly Uses a term loosely or with a small error No course terms, or used incorrectly
Engagement with peers (3 pts) Two or more substantive replies that extend or challenge a classmate's reasoning One substantive reply, or replies that only agree No replies, or "I agree" with nothing added

Post early if you can — the best threads happen when people have time to reply before the second due date.

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