Hello I need help with complete solution band explanation. Use a clean paper for the answers. Thank you.

Instruction: Answer the following problems using z-test. Use separate sheets and submit it in the google form. 1. Credit Card Debt It has been reported that the average credit card debt for college seniors in $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. With a = 0.05, is the student senate correct? 2. Peanut Production in Virginia The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a = 0.05, can you conclude that the average production has increased? 3. Salaries of Government Employees The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 state employees who do similar work is $58,800 with a standard deviation of $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees