The cost of a hamburger varies from city to city. However, the variation among prices remains steady with a standard deviation of $1.20. A study was done to test the claim that the mean cost of hamburgers is $4.00. A sample of 12 found a mean cost of $3.25 with a standard deviation of $1.80. Do the data support the claim at the 1% level? . a. Ho : b. H1: p-value = 0.3865 . i. Alpha: 0.01 ii. Decision: iii. Reason for decision: iv. Conclusion: d. Construct the 99% Confidence Interval