one by one and clearly 1. Donald Trump announced his intention to run for president in 2024 He is creating a poll to determine it he can be 95% certain he can win Massachusetts with a 1% margin of error: a) How many people does he need to randomly survey across the state if no preliminary survey is available? b) How many if his aide Boris stated 68% of Ma. residents like him? 2. A savings and loan association needs information concerning checking balances of its local customers.A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a sample standard deviation (s) of $297.29 a) Find a 98% confidence interval for the true mean checking account balance for local balances (USE THE t Distribution. b) Find a 95% confidence interval for the variance and standar deviation for this group (USU THE CHI-SQUARE DISTRIBUTION) 3. As part of an environmental Studies class project students measured the circumference of a sample of 45 Blue Spruce Trees near the lake. The sample mean of circumference was 29.8 inches Assume the population standard is known to be 7.2 inches. Find a 90% confidence interval for the population mean circumference of all Blue Spruce trees near the lake (USE z distribution) 4. A random sample of 78 students were interviewed stated 59 would vote for Mildred Krotelmeyer to be student body president. Find a 90% confidence interval for p ( Use the z table)