PLEASE HELP IM DESPERATE
SHOW WORK
1. A coffee-dispensing machine is supposed to deliver 12 ounces of liquid into a large paper cup, but the costumer believes that the actual amount is less. As a test he plans to obtain a sample of 30 cups of the dispensed liquid. The mean of his sample is 11.5 ounces. The machine operates with a known standard deviation of σ = 1.1 ounces. Is there enough evidence at the α = .05 level for him to claim the machine is broken?

2.In a SRS of 80 teenagers, the average number of text messages received per day is found to 50. If the standard deviation of number of texts received is known to be σ = 12, find the 95% confidence interval for the number of text messages received.

Question

PLEASE HELP IM DESPERATE 
SHOW WORK
1. A coffee-dispensing machine is supposed to deliver 12 ounces of liquid into a large paper cup, but the costumer believes that the actual amount is less. As a test he plans to obtain a sample of 30 cups of the dispensed liquid.  The mean of his sample is 11.5 ounces.  The machine operates with a known standard deviation of σ = 1.1 ounces.  Is there enough evidence at the α = .05 level for him to claim the machine is broken?

2.In a SRS of 80 teenagers, the average number of text messages received per day is found to 50.  If the standard deviation of number of texts received is known to be σ = 12, find the 95% confidence interval for the number of text messages received.

ltrout · Answer

2 isn't finished btw.