Math Problem Statement
- what claim abojt a mean from the article did we test
Solution
The claim about a mean from the article that was tested is:
"The average age of online students is 32 years old."
Would you like any further details or have any questions about this analysis?
Here are some additional questions to consider:
- What is the significance level (alpha) used in these hypothesis tests?
- How do you interpret the p-value in the context of this hypothesis test?
- What would be the implications if the null hypothesis (Ho) were not rejected?
- How can you calculate the test statistic for a mean when the population standard deviation is known?
- What assumptions must be met to use a normal distribution for this hypothesis test?
Tip: When performing hypothesis tests, always ensure you understand whether you are dealing with a one-tailed or two-tailed test, as this affects the critical values and the interpretation of the p-value.
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Normal Distribution
Test Statistic
Formulas
Test statistic for mean: z = (x̄ - μ) / (σ / √n)
Test statistic for proportion: z = (p̂ - p) / √[p(1-p)/n]
Theorems
Central Limit Theorem
Normal Distribution Assumption
Suitable Grade Level
Grades 11-12 or College-level
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