Please answer with detailed explanation

1. An economist believes that average weekly food expenditure of households in City 1 is more than that of households in City 2. She surveys 35 households in City 1 and obtains an average weekly food expenditure of $164. A sample of 30 households in City 2 yields an average weekly food expenditure of $159. Historical data reveals that the population standard deviation for City 1 and City 2 are $12.50 and $9.25, respectively a. Specify the competing hypotheses. b. Calculate the value of the test statistic and its associated p -value. c. Develop interval estimation with a 0.05 d. At the 5% significance level, test the hypothesis using p-value and critical value e. What is your conclusion