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Course: Statistics and probability?>?Unit 12
Lesson 4: Tests about a population mean- Writing hypotheses for a significance test about a mean
- Writing hypotheses for a test about a mean
- Conditions for a t test about a mean
- Reference: Conditions for inference on a mean
- Conditions for a t test about a mean
- When to use z or t statistics in significance tests
- Example calculating t statistic for a test about a mean
- Calculating the test statistic in a t test for a mean
- Using TI calculator for P-value from t statistic
- Using a table to estimate P-value from t statistic
- Calculating the P-value in a t test for a mean
- Comparing P-value from t statistic to significance level
- Making conclusions in a t test for a mean
- Free response example: Significance test for a mean
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Conditions for a t test about a mean
Problem
West High School is a large school with more than students. The school requires that students are assigned an average of hours of homework each night. The school board believes that students are being assigned less than this, so they take a random sample of West High School students to determine if there is convincing evidence to support their suspicion. The homework times in the sample are strongly skewed to the right.
The school board wants to use these sample data to conduct a test about the mean.
Which conditions for performing this type of test did their sample meet?