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Question 4: A food magazine called Consumer Reports, carried out a survey of the calorie and sodium content of a number of different brands of hotdog. Two types of hotdog were considered: beef and poultry. The results below show the calorie content of the different brands of beef and poultry hotdogs. Beef (A) 180 180 170 140 180 190 158 139 175 148 152 111 141 153 190 157 131 149 135 132 Poultry 129 132 102 94 102 87 99 170 113 86 143 152 146 144 (B) A previous F-test made on this data gave an insignificant result and histograms of the 2 samples showed that they both looked reasonably normally distributed. Test at the 1% significance if there is higher calorific content in the beef hotdogs. a) State the null hypothesis and the alternative hypothesis. b) Calculate the test statistic, taking note of the order of calculation as indicated in the question. (2 dR) t = c) State the Degree of freedom, of = d) Look up the upper tail critical from tables (3 dp), Lc= [ ] e) What is your decision regarding Ho