The listing price of a random sample of two-year-old Honda Civics was obtained for four cities in the United States. (Source: www.cars.com, accessed July 2008.) The data are summarized in the table below. Assume that prices of two-year-old Honda Civics are normally distributed. At the 5% significance level, is there a difference in the price of the cars in these cities? (Show all six steps of hypothesis testing.)
Chicago Los Angeles New York Honolulu
18995 22995 17997 19300
18495 17000 14500 23950
13999 18982 17990 23595
16995 18990 16800 19925
17850 19988 15995
19995 21595