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2009 2010 Sample mean $561 19 $496.41 The table to the right shows the average back-to-school spending of households randomly sampled in 2009 and 2010, along with the population standard deviations and sample sizes for each sample Sample size 32 36 Population standard $160 deviation $140 a. Perform a hypothesis test using a = 0.10 to determine if the average household back to-school spending in 2009 was different than it was in 2010. b. Determine the p-value and interpret the results. Calculate the test statistic The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s) The critical value(s) is(are) 4 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Reach a decision Since the test statistic in the rejection region, Ho There is evidence to conclude that the mean of population 1 is different from the mean of population 2 b. Calculate the p-value. The p-value is (Round to three decimal places as needed ) Interpret the results Since the p-value is Ho. There is evidence to conclude that the mean of population 1 is different from the mean of population 2