2. T MAZES AND SMELLS Can pleasant smells improve learning? Researchers timed 21 subjects as they tried to complete paper-and-pencil mazes. Each subject attempted a maze both with and without the presence of a floral aroma. Subjects were randomized with respect to whether they did the scented trial first or second. The table shows some of the data collected. Is there any evidence that the floral scent improved the subjects' ability to complete the mazes?? Time to Complete the Maze (sec) Unscented Scented Unscented Scented 25.7 30.2 61.5 48.4 41.9 56.7 44.6 32.0 51.9 42.4 35.3 48.1 32.2 34.4 37.2 33.7 64.7 44.8 39.4 42.6 31.4 42.9 77.4 54.9 10.1 42.7 52.8 64.5 13.2 24.8 63.6 43.1 33.9 25.1 56.6 52.8 40.4 59.2 58.9 44.3 58.0 42.2Minitab Output Descriptive Statistics: DIFF Statistics Variable N Mean SE Mean S:Dev Minimum Q1 Median Q3 Maximum DIFF 21 31815 2.04 1201 180 15.20 22 50 Histogram of DIFF Histogram of DIFF 25 20 Percent 15 -16 24 DIFFFollow the steps below to answer this question based on the data presented in the textbook: Is there evidence, at the 5% level of significance, to conclude that the floral scent improved the subjects' ability to complete the mazes? The summary statistics are given on the Minitab output (you do not need to calculate the differences, or the mean and standard deviation of those differences), as well as a copy of the question from the textbook.For each of the following assumptions, name the condition needed to check it (if applicable) and explain, in the context of the problem, whether or not it is met. Note that the Normal Population Assumption, nearly normal condition is not met because the histogram of the differences in the time it took to complete the maze is not symmetric, so we need to check the sample size assumption. Paired Data Assumption 1 AY B I E\fWhich of the following is the correct Ho and Ha for this problem? O a Hold = 0 O b. Hold = 0 H,: H. >0 O G Ho: H1 = H2 H,: 1 > 12 O d. Ho: Hi = 12 H.: 1