Assignment # 4 Using the critical value approach, answer the following questions: 1) Does an average box of cereal contain 345 grams of cereal? A random sample of 25 boxes had an average of 338.5. The company has specified population's standard deviation to be 50 grams. Test at the 0.05 level of significance. 2) You work for the FTC. A manufacturer of detergent claims that the mean weight of detergent is at least 6.5 lb. You take a random sample of 64 containers. You calculate the sample average to be 6.43 lb. with a standard deviation of . 14 lb. At the 0.02 level of significance, is the manufacturer correct? 3) Is the average capacity of batteries less than 150 ampere-hours? A random sample of 20 batteries had a mean of 147.4 and a standard deviation of 4.1. Assume a normal distribution. Test at the 0.1 level of significance. 4) The management team at EDC College has claimed that at least 80% of their graduated students have found a satisfying job. A random sample of graduated students from EDC College shows that 47 out of 60 students had a satisfying job after their graduation. Test the management claim at 0.02 level of significance to see if they are correct. 5) The proportion of Asian students in a certain college is predicted as 60%. A researcher believes that the proportion of Asian student is more. He takes a sample of 120 students and finds 75 Asians in that sample. Does he have enough evidence that the proportion is more than 60%? If you use the p-value approach, I will give you zero for this assignment. You must write down both null and alternative hypothesis. You must clearly find the critical value(s) and must calculate the test statistics. You must clearly state the conclusion