Conduct a hypothesis testing using critical value method. The school nurse thinks the average height of 11th graders has increased. The average height of a 11th grader five years ago was 158 cm with a standard deviation of 20 cm. She takes a random sample of 200 students and finds that the average height of her sample is 160 cm with a standard deviation of 17cm. Using 95% confidence, are 11th graders now taller than those 11th graders before? Using the 7 steps 1. Describe the population parameter of interest. The population parameter of interest is population mean = u = 158 2. Formulate the null and alternative hypothesis. The null and alternative hypothesis is Ho : u = 158 Ha : u > 158 3. Check the assumptions. Assumptions : The sample comes from a normal population. It is a random sample 4. Choose a significance level size for a. 5. Select the appropriate test statistic. Compute the test statistic using the appropriate formula. 6. State the decision rule for rejecting or not the null hypothesis. 7. Compare the computed test statistic and the critical value/s.

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