8   Question 2 continued One week, Shelly sends the pattern to the sample production department on Tuesday, 7 hours before it closes for the day. (d) Calculate the probability that her sample jacket will be produced from the pattern before the sample production department closes on Tuesday. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ That same week, Shelly’s boss would like the sample jacket to be produced from the pattern by 11 am on Wednesday. The sample production department opens at 8 am. (e) Given that the sample jacket was not produced from the pattern before the sample production department closed on Tuesday, calculate the probability that it is ready by 11 am on Wednesday. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 2 is 6 marks) Turn over 9   3 Klazine is a researcher interested in nutrition. She believes that involving a child in preparing their own meal affects what they choose to eat at that meal. She conducted a study involving 47 children aged 6 to 10 years. 25 children ate a meal that they had prepared with their parent. The other 22 children ate a meal that their parent had prepared alone. All of the meals contained the same four ingredients: pasta, chicken, cauliflower, and salad. Klazine measured the total weight, in grams (g), of each ingredient eaten by the children in each group. Her results for salad are shown in Figure 3. Salad eaten (g) n Mean SD Child prepared with parent 25 96.4 61.5 Parent prepared alone 22 54.8 35.4 [Data source: https://doi.org/10.1016/j.appet.2014.03.030] Figure 3 (a) Calculate a 95% confidence interval for the weight of salad eaten by the children whose parent prepared the meal alone. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________