Problem 3: Dietary SurveyAssigned: 12 OctoberDue: 28 OctoberMaximum Mark: 10 PointsMaximum Submission Length: 3 pagesAs part of a pilot study, the dietary energy consumption (in kcal) of 25 randomly-selectedBritish residents is monitored daily for one week. Results are given in the file calories.csv.1. Estimate the average daily energy consumption for all individuals in Britain from thesedata. Also provide a 95% confidence interval.2. Suppose you wish to provide a more accurate estimate: ideally, within 20 kcal of the“true” population average (at 95% confidence). How many more individuals do you need tosurvey?3. What is the estimated total daily food consumption by all individuals in the UnitedKingdom combined? Express in kcal, and provide a 95% confidence interval. The UKpopulation is approximately 67 million. (Use only the actual data you have now, and use areasonable number of significant digits.)4. It has been estimated that the total energy value of all food produced/imported for humanconsumption in the UK is 84 trillion kcal per year (defining 1 trillion = 1012). What percentageof this food is wasted (not consumed)? Provide a 95% confidence interval.
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