For the past several years, the mean number of people in a household has been declining. A social scientist believes that in a certain city, the mean number of people per household is less than 3.5. To investigate this, she takes a random sample of 170 households in the city and finds that the mean number of people is 3.32 with a standard deviation of 1.4. Can you conclude that the mean number of people per household is less than 3.5? Use the a = 0.06 level. a. State the null and alternative hypotheses. Ho: 2 H = b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3 -2 -1 0 1 2 3 a -3 -2 -1 0 1 2 3 a Critical value(s): ++ -3 -2 -1 0 1 2 3 a (If there are two critical values, list both values separated by a comma) c. Find the test statistic. 083 mei d. Find the p-value. qose mobst Enou e. Decide: Select an answer Ho f. Conclusion: At a = 0.06 significance level, there enough evidence to conclude that the mean number of people per household is less than 3.5. Select an answer