What does he mean by name the program? Can you show an example with the first couple questions .

lath 16: Bartow Name: Homework Quiz #7 - Chapter 9 Spring, 2021 or #1 - 5: a) Would you do hypothesis testing for the Mean, Proportion, or Standard Deviation? b) Name the program or write the formula you would use to compute the test statisic in Step #4. You do not need to write all of the 5 steps for hypothesis testing. Just answer the above two questions for each problem. 1. A simple random sample of size 6 has a mean of 5.29 and a standard deviation of 2.37. The population is approximately normally distributed. At the .05 level of significance, can you conclude that the population mean is greater than 4? 2. Approximately 71% of the U.S. population recycles. According to a green survey of a random sample of 260 college students, 198 said that they recycled. At a = 0.05, is there sufficient evidence to conclude that the proportion of college students who recycle is greater than 0.71? 3. The mean age of senators in the 109th Congress was 61.35 years. A random sample of 40 senators from various state senates had a mean age of 58.4 years. It is known that the standard deviation of all state senators is normally distributed with a standard deviation of 6.5 years. At a = .05, is there sufficient evidence to show that the mean age of state senators is less than the mean age of Senators in Congress. 4. Scores for the SAT are normally distributed. The test board claims that the scoring system for SAT is designed so that the population standard deviation is 100. A sample of 20 SAT scores had a standard deviation of 87. Can we conclude that the population standard deviation is not equal to 100. Use a = .05. 5. Speeds for a sample of nine cars were measured by radar along a stretch of highway. The results, in miles per hour, were as follows. 56 60 53 55 54 51 54 51 56 Assume that the population of speeds is normally distributed. Can you conclude that the mean speed for all cars on that stretch of highway is greater than 53? Use the .05. level of significance