1. The data below represents the amount that a sample of fifteen customers spent for lunch ($) at a fast-food restaurant: 7.42 6.29 5.83 6.50 8.34 9.51 7.10 6.80 5.90 4.89 6.50 5.52 7.90 8.30 9.60 a. At the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? Follow and show the 7 steps for hypothesis testing. (8 points) b. Determine the p-value and interpret its meaning. (3 points) c. What assumption must you make about the population distribution in order to conduct the test in part a? Is the assumption valid? Use and include an appropriate graph from Minitab. in a couple sentences support your answer. (3 points) d. Verify your results using Minitab by attaching or including the Minitab output. (2 points)