Casio STAT 2 Manual de usuario descargar pdf (Pagina 52)

Activity 10

Class Height

Topic Area: Confidence Intervals

NCTM Standards:

• Develop and evaluate inferences and predictions that are based on data

• Use simulations to explore the variability of sample statistics from a

known population and to construct sampling distributions (9-12)

• Understand how sample statistics reflect the values of population

parameters and use sampling distributions as the basis for informal

inference (9-12)

Objective

The students will be able to calculate the confidence interval for the height of the

students in their class.

Introduction

Showing students why it is important to be able to calculate confidence intervals

may be difficult. This activity is chosen for its ease of data collection so that the

students can concentrate on the statistics.

Use the following descriptions to go through the solutions manually:

There are two types of confidence interval tests that you can perform with data:

t-test and z-test. The t-test is performed when the mean (

X) and standard

deviation (

s) for sample are known but not for the entire population. The

standard deviation of the population is estimated based on the number of degrees

of freedom (

df = n – 1). The z-test requires both the mean and standard deviation

for the sample and population. In this activity, the students will assume the mean

of the population is the same as the sample and will not know the standard

deviation for the population, thus they will be doing a t-test.

If a student wants to compare a sample population to an entire population, the

student may use a t-test. There are two types of t-tests: one-tailed and two-tailed.

A one-tailed test would be used if the student wanted to know if the mean of the

sample were larger than the mean of the population or if the sample mean were

smaller than the mean of the population. A two-tailed test would show if the

mean of the sample were smaller or larger than the mean of the population. With

a certain degrees of freedom value for a particular sample, the confidence value

would determine how sure the results were. For example, if you wanted to be

99% sure that your hypothesis was correct, you would go with a confidence of

p = 0.01 for a one-tailed test or p = 0.005 for a two-tailed test. The t-value must

be found using a table of values based on degrees of freedom and the confidence

value. There are also many t-value calculators on the Internet. In this activity, the

students will perform a two-tailed test.

Teaching Notes

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