Nationally, the per capita monthly fuel oil bill is $110. A random sample of 30 southeastern cities average $78, with a standard deviation of $4. Is the difference between these cities and the national average significant? a. Identify each of the following, using the given information. Sample Mean= Blank 1 = Blank 2 N = Blank 3 S = Blank 4 b. Write the null hypothesis and alternate hypothesis using statistical language. As you cannot use greek letters, in your response use "Mean" for X-Bar and "Population Mean" for . For your operations, use =, <, >, and =/= (does not equal). Null: Blank 5 Alternate: Blank 6 c. As you are given "S," you must use the t-distribution for this problem. What would be the degrees of freedom (df) for this scenario? Blank 7 d. Assume that the alpha level is 0.05. What would be the critical t-score? In other words, what t-score is our cut-off for the rejection region? Blank 8 e. Calculate the obtained z-score for this problem. Blank 9 f. Make a decision. Based on your calculations, which hypotheses would we reject? Which would we accept? (Reject Null or Accept Null? Reject Alternate or Accept Alternate?) Blank 10 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6 Blank 7 Blank 8 Blank 9 Blank 10