Practice Mean Tests (5.2) - Statistics - Mathematics III (PDE, Probability & Statistics)
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Mean Tests

Practice - Mean Tests

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for a Single Mean Test?

💡 Hint: Look for the sample mean, population mean, and standard deviation in the formula.

Question 2 Easy

When would you use a Difference of Means Test?

💡 Hint: Think about scenarios where you want to compare two different groups.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary purpose of a Single Mean Test?

To compare two means
To test if one mean is significantly different from a known mean
To derive variances

💡 Hint: Focus on understanding the application of the test.

Question 2

True or False: The Z-test can be used for small samples.

True
False

💡 Hint: Think about sample sizes and test types.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You conduct a study with two groups. Group A (n=100, \bar{x}=85, \sigma=10) and Group B (n=100, \bar{x}=82, \sigma=15). Using a 0.05 significance level, determine whether the difference in means is significant.

💡 Hint: Don't forget to compute the combined standard deviations!

Challenge 2 Hard

A company claims their new training program increases productivity. The average productivity before was 150 units (n=40). Post-training, the average is 160 (\sigma=20). Conduct a test to evaluate this claim.

💡 Hint: Make sure to check your standard deviation and sample sizes!

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Reference links

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