4 - Statistical Inference and Hypothesis Testing
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Practice Questions
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Define Statistical Inference.
💡 Hint: Think about the relationship between samples and populations.
What is a null hypothesis?
💡 Hint: It serves as a starting assumption in hypothesis testing.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary purpose of hypothesis testing?
💡 Hint: Think about what we do after collecting sample data.
True or False: A p-value tells us the probability that the null hypothesis is true.
💡 Hint: Recall what p-values are measuring.
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Challenge Problems
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A researcher wants to test if a new study program improves test scores. They find the average score in the sample is 82, compared to the known population mean of 76. If the standard deviation is 10, conduct a hypothesis test to see if this change is statistically significant at α = 0.05.
💡 Hint: Remember the relationship between sample mean, population mean, standard deviation, and sample size.
In a study comparing three different diets, researchers collect data on weight loss over a month. Use ANOVA to determine if there's a significant difference among the diet groups with given means and standard deviations. Provide steps for this analysis.
💡 Hint: Think about how ANOVA divides the total variability into different components.
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