In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order

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In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect.

206 169 191 152 212 139 142 151 174 220 192 153

Using the critical value method, can you conclude that the mean number of diners increased while the free dessert offer was in effect? Use the ?? = 0.05 level of significance. A box plot indicates that it is reasonable to assume that the population is approximately normal. Answer parts a – e below to complete this problem.
a. State the null and alternate hypotheses for this test. Use proper notation and formatting.
b. Compute the value of the test statistic. Show work. Round to three decimal places if needed.
c. Identify any critical values and shade the critical region(s).
e. State an appropriate conclusion based on your decision in part d.