The Minitab output below gives the summarised data of the moisture content (by percent) for random samples of different fruits and vegetables. Assume that the data were drawn from a normal distribution. Descriptive Statistics: Moisture Content Variable N Mean St Dev Fruit 83. 11 6. 49 Vegetable 7 92 . 71 3 . 15 a) A research assistant believes that the mean moisture content for fruit is higher than 80 percent. At 5% significance level, can you conclude the research assistant's belief? (5 marks) b) Construct a 95% confidence interval for the ratio of variances for the moisture content of the fruit and vegetable. What can you conclude from this interval? (5 marks) c) From your conclusion in (b), can you conclude at 5% significance level that the mean moisture content for vegetable is higher than fruit? (8 marks)