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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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Calculating the test statistic in a t test for a mean
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Problem
St. West High School requires that students are assigned an average of hours of homework each night. The school board believes that the average amount of time per night is not hours, so they decide to take a random sample of students to see if there is convincing evidence to support their suspicion. The board finds that the sample of students were assigned an average of hours of homework per night with a standard deviation of hours.
The board want to use these sample data to conduct a test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
You may round your answer to two decimal places.
You may round your answer to two decimal places.