Find the P-value for the indicated hypothesis test with the given standardized test statistics z. Decide whether to reject Ho for the given level of significance a. 1. Left-tailed test, z=-1.32, a=0.10 2. Right-tailed test, z-2.46, a=0.01 3. Two-tailed test, z=-1.68, a=0.05 In exercises 4-7, match each P-value with the graph that displays its area. The graphs are labeled (a)-(d) 4. P=0.0089 5. P=0.3050 6. P=0.0688 7. P=0.0287 (a) (b) -3 -2 -1 0 2 3/ 2- 1 z = 1.90 2=-2.37 (c) (d) -3 -2 -1 0 1 /2 -3 -2 -1 0 1 2 z = 1.82 z=-0.51 8. The mean running time of a certain variety of nickel-cadmium rechargeable flashlight battery is known to be normally distributed with a mean of 8.5. A change in production method for this battery has been proposed, and a simple random sample of 64 batteries produced by the new method has mean running time of 8.72 hours. Assume the population is normally distributed with a standard deviation of 0.55 hour as known and remains unchanged, test a claim that the new production method improving the battery mean running time using 0.05 significance level. 9. A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At a=0.01, can you reject the company's claim