Question

There are many different types of hot dogs produced in the U.S. The data to the right represents the published mean calorie contents of the various brands that produce beef hot dogs and the mean calorie contents of various brands that produce poultry hot dogs. (Treat these as samples.)

Compute the mean calorie content for each type of hot dog. (beef and poultry)

Beef Poultry

X Y

186 129

181 132

176 102

149 106

184 94

190 102

158 87

139 99

175 107

148 113

152 135

111 142

141 86

153 143

190 152

157 146

131 144

149

135

132

Compute the median calorie content for each type of hot dog. (beef and poultry)

Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry)

Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry)

Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry)

Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry)

Construct side-by-side boxplots. (These should make comparisons easy.)

Calories

190

180

170

160

150

140

130

120

110

100

90

Based upon the totality of your analysis, compare the calorie contents of beef and poultry hot dogs.

Suppose that you were to go to a cook-out where there were two grills. On one grill, there are only beef hot dogs being grilled. On the other grill, there are only poultry hot dogs being grilled. Suzy is very calorie conscious because of her new diet.

To which grill should Suzy go for her hot dog?

If Lights Out Larry (Suzy’s boyfriend) were to go to the other grill, could Suzy be absolutely sure that the calorie content of her hot dog is less than the calorie content of Larry’s hot dog? Explain your answer.

Answer 1

Suzy should go to Poultry for her hot dog.