Hypothesis Testing and T Distribution

Hypothesis Testing and T Distribution

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers the basics of hypothesis testing, focusing on the use of the T distribution for small sample sizes (less than 30). It explains the concept of degrees of freedom and how to use T distribution charts. The tutorial also compares T and normal distributions, highlighting their differences. Finally, it provides practical examples of applying the T distribution in statistical analysis.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this lesson in mastering statistics?

Exploring probability distributions

Understanding hypothesis testing

Learning about data collection methods

Studying statistical software

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which distribution is used for hypothesis testing with small samples?

Chi-square distribution

T distribution

Normal distribution

F distribution

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the characteristic shape of the T distribution?

Skewed to the left

Symmetrical about zero

Asymmetrical

Skewed to the right

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the degrees of freedom for a sample?

Number of samples plus one

Number of samples minus one

Number of samples times two

Number of samples divided by two

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the T distribution chart, what do you need to know besides the degrees of freedom?

Sample mean

Sample size

Sample variance

Level of significance (Alpha)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the significance level (Alpha) represent in hypothesis testing?

The probability of a Type I error

The probability of a Type II error

The sample standard deviation

The sample mean

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the normal distribution differ from the T distribution in terms of area representation?

T distribution gives area to the left

Both give area to the right

Normal distribution gives area to the right

Normal distribution gives area to the left

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