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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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Writing hypotheses for a test about a mean
Problem
A school counselor heard that teenagers sleep an average of hours per night on the weekend. The counselor wants to test if this figure holds true for students at their school, so they take a random sample of students and ask them about their weekend sleep habits.
Let represent the average amount of sleep that students at this school get per night on the weekend.
Which of the following is an appropriate set of hypotheses for their significance test?