HYPOTHESIS TESTING In a certain school, the average height of students in a batch is 100 cm and the standard deviation is 15 cm. However, a researcher believes that this has changed, so he decides to test the height of 75 random students of a sample of the batch. The average height of the sample comes out to be 105 cm. Is there enough evidence to suggest that the average height has changed? Use this Format 1. Formulate Ho and Ha. 2. Determine the test to be used. 3. Set the significance level. Determine the tabulated or critical value (TV) for the test. 4. Computation

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.1: Measures Of Center And Variation
Problem 37E
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HYPOTHESIS TESTING

In a certain school, the average height of students in a batch is 100 cm and the standard deviation is 15 cm. However, a researcher believes that this has changed, so he decides to test the height of 75 random students of a sample of the batch. The average height of the sample comes out to be 105 cm. Is there enough evidence to suggest that the average height has changed?

Use this Format

1. Formulate Ho and Ha.
2. Determine the test to be used.
3. Set the significance level. Determine the tabulated or critical value (TV) for the test.
4. Computation
5. Compare computed value (CV) with the tabulated or critical value (TV). Then, make a decision.
                a. Reject Ho and Accept Ha if |CV| ≥ |TV|.
                b. Accept Ho and Reject Ha if |CV| < |TV|.
6. Conclusion.

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9781680331141
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HOUGHTON MIFFLIN HARCOURT
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