Sparty's Choice Sparty is an MSU Graduate Student who secured two great jobs, one in Charlotte and another one in Portland. Before taking up one of the jobs, he wants to use statistical inference to determine if the average cost of living in Charlotte is lower than Portland. He surveys a random sample of 34 young professionals in Charlotte and 36 young professionals in Portland and asks them to report their living expenses for the past year. The summary statistics are given in the table below in thousands of dollars.

Place	Mean Cost of Living	Standard Deviation
Population 1: Charlotte	42.5	3.627
Population 2: Portland	44.55	5.112

1. Which type of hypothesis test should be used? D. Two sample t-test for the difference in independent means

2. Express the research question in terms of a null and an alternative hypothesis.

A. H0H0: 11 = 22 vs. HAHA: 1<21<2

3. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. A. The expected count for each level of the categorical variable must be at least 5. B. The two sample groups must be independent of each other. C. There must be at least 3 levels of the categorical variable. D. The observations within each sample must be independent. E. The data distribution for both populations must be normally distributed or each sample size must be larger than 30.

4. Calculate the appropriate test statistic. t = ??? Round to 4 decimals.

5. Calculate the p-value using 63.208433 degrees of freedom.p-value = ??? Round to 4 decimals.

6. Based on the above p-value, we have ? extremely strong very strong strong some little evidence against the null hypothesis.

7. Use the data to construct a 99% confidence interval for the true difference, 12:( ????, ?????). Round to 4 decimals.