Test_11D - Test 11D AP Statistics Name: Directions: Work on...

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Test 11D AP Statistics Name: Directions: Work on these sheets. Tables and formulas appear on a separate sheet. Part 1: Multiple Choice. Circle the letter corresponding to the best answer 1. The average growth of a certain variety of pine tree is 10.1 inches in three years. A biologist claims that a new variety will have a greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 10.8 inches and a standard deviation of 2.1 inches. The appropriate null and alternative hypotheses to test the biologist's claim are (a) H 0 : µ = 10.8 against H a : µ > 10.8 (b) H 0 : µ = 10.8 against H a : µ 10.8 (c) H 0 : µ = 10.1 against H a : µ > 10.1 (d) H 0 : µ = 10.1 against H a : µ < 10.1 (e) H 0 : µ = 10.1 against H a : µ 10.1 2. In a test of H 0 : µ = 100 against H a : µ > 100, a sample of size 80 produces z = 0.8 for the value of the test statistic. The P -value of the test is thus equal to (a) 0.20 (b) 0.40 (c) 0.29 (d) 0.42 (e) 0.21 3. A certain population follows a Normal distribution with mean μ and standard deviation 22.1 σ = . You collect data on four members of the population and test the hypotheses 0 : 100; : 100 a H H = . You obtain a P- value of 0.052. Which of the following is true? (a) At the 5% significance level, you have proved that 0 H is true. (b) You have failed to obtain any evidence for a H . (c) There is some evidence against 0 H , and a study using a larger sample size may be worthwhile. (d) This should be viewed as a pilot study, and the data suggest that further investigation of the hypotheses will not be fruitful at the 5% significance level. (e) None of the above.
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Test_11D - Test 11D AP Statistics Name: Directions: Work on...

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