Introduction

The purpose of this activity is to help give you a better understanding of the underlying reasoning behind the interpretation of confidence intervals. In particular, you will gain a deeper understanding of why we say that we are “95% confident that the population mean is covered by the interval.”

Launch the applet in a separate window.

The applet has a new look and different ways of entering the information but otherwises, works the same and still illustrates the same concepts.

When the applet loads, you see a normal-shaped distribution, which represents the sampling distribution of the mean (x-bar) for random samples of a particular fixed sample size, from a population with a fixed standard deviation of σ (sigma).

The green line marks the value of the population mean, μ (mu).

Learn By Doing

Question prompt

Question:

Question

- The number of courses the student takes this semester:
- The student's height:
- The student's (exact) body temperature:
- The number of siblings the student has:
- The (exact) time the student spends doing school work during a week:
- The number of alcoholic beverages that the student drinks in a typical week:

A
Choice 1

B
Choice 2

C
Choice 3

D
Choice D

E
Choice E

F
Choice F

G
Choice G

H
Choice H