Question
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
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) | 186 | 181 | 176 | 149 | 184 | 190 | 158 | 139 | 175 | 148 | 152 | 111 | 141 | 153 | 190 | 157 | 131 | 149 | 135 | 132 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Poultry (B) | 129 | 132 | 102 | 106 | 94 | 102 | 87 | 99 | 170 | 113 | 135 | 142 | 86 | 143 | 152 | 146 | 144 |
A previous F-test made on this data gave an insignificant result and histograms of the two samples showed that they both looked reasonably normally distributed. test at the 5% significance if there is a difference in calorific content between the two types of hotdogs.
(a) | State the null hypothesis and the alternate hypothesis. |
AnswerH0: A- B 0 ;H1:A- B > 0H0: A- B = 0 ;H1:A- B 0H0: A- B 0 ;H1:A- B < 0H0: A- B 0 ;H1:A- B = 0 (2 marks) |
(b) Calculate the test statistic, taking note of the order of calculation as indicated in the questiion t= (state accurate to 2dp) (4 marks) |
(C) State the Degrees of Freedom, df= (1 mark) |
(d) Look up the upper tail critical value from tables(state to 3dp as given in tables) tc= |
(e) | What is your decision regardingH0? |
Answer: Do not reject Ho/ Reject Ho |
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