Please work the hypothesis testing problem below for this week's discussion post. In an attempt to increase business on Monday nights, a restaurant offers free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday nights was 152. The following are the numbers of diners on a random sample of 12 Monday nights while the offer was in effect. 206 169 191 152 212 139 142 151 174 220 192 153 Dot plot. xlsx Part (a) - 2 Points Look at the above dot-plot of the data. Why does the plot suggest that it is okay to conduct a hypothesis test? Part (b) - 6 Points Test at the α = 0.05 level whether or not the dessert promotion increased the mean number of dinner customers on Monday nights. Carry out and show the 5 steps of hypothesis testing as outlined in The Framework of All Hypothesis Testing within this week's learning module. Part (c) - 2 Points