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The mean household size in a city is 3.2 persons with a standard deviation of s = 1.6. A firm interested in estimating weekly household expenditures on food takes a random sample of n = 100 households. To check whether the sample is truly representative, the firm calculates the mean household size of the sample to be 3.6 persons. Test the hypothesis that the firm's sample is representative of the city with respect to household size (using a = 0.05). Please show your results by following the following 6 steps (you can refer to the examples in Lecture 9). Step 1: State the null hypothesis, Ho . Step 2: State the alternative hypothesis, HA . Step 3: Choose a, the level of significance Step 4: Choose a statistical test, and find the observed test statistic Step 5: Find the critical value of the test statistic . Step 6: Compare the observed test statistic with the critical value of the test statistic and decide to accept or reject Ho