For each exercises, perform each of the following steps.

1. Determine the null hypothesis 0 and alternative hypothesis

2. Identify the statistical test to be used, the value of , and the critical value of the test statistic.

3. Computation

4. Decision (reject or not to reject 0)

5. Conclusion (in non-technical terms)

1. The average production of peanuts in Virginia is 3000 pounds per acre. Anew 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 = 0.05, can you conclude that the average production has increased?

2. The average salary for public school teachers for a specific year was reported to be P39,385. A random sample of 50 public school teachers in a particular city had a mean of P41,680, and the population standard deviation is P5975. Is there sufficient evidence at the = 0.05 level to conclude that the mean salary differs from P39,385?

3. The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington?

4. A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Is researcher's claim correct? Set = 0.05.

5.A store manager hypothesizes that the average number of pages a person copies on the store's copy machine is less than 40. A sample of 50 customers' orders is selected. At = 0.05, is there enough evidence to support the claim?

PLEASE ANSWER/PERFORM ALL THE STEPS COMPREHENSIVELY. ALSO, PLEASE ANSWER THE QUESTION CLEARLY. ANSWER WHAT IS ASKED TO HAVE A HELPFUL RATING. THANKS.