There are many different types of hot dogs produced in the U.S. The data to the Вeef Poultry right represents the published mean calorie contents of the various brands that Y produce beef hot dogs and the mean calorie contents of various brands that produce poultry hot dogs. (Treat these as samples.) 186 129 181 132 a. Compute the mean calorie content for each type of hot dog. (beef and 176 102 poultry) 149 106 3137 184 94 Beef,x: 20 156.85 = 156.9 190 102 158 87 Poultry, y: 2019 = 118.76 = 118.8 17 139 99 175 107 b. Compute the median calorie content for each type of hot dog. (beef and 148 113 poultry) 152 135 111 131 132 135 139 141 148 149 149 152 111 142 141 86 153 157 158 175 176 181 184 186 190 190 153 143 305 152 + 153 = 2 190 152 152.5 157 146 Median Beef x = 152.5 131 144 149 86 87 94 99 102 102 106 107 113 129 132 135 142 143 144 146 152 135 Median Poultry y = 113 132 Total 3137 Total 2019 c. Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry) Standard Deviation Beef: s, = 22.642 Standard deviation Poultry: sy = 22.55

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I need help with 2.(a,b,c,d,e,f,g,h,i,i,ii)
c. Is it reasonable to assume that this data is normally distributed? Explain your answer.
Yes, this data has normal distribution because it appears to have a bell shape, which means that the
majority of the time, Larry made between 170 and 180 3-point shots, with few practice days where he
made fewer shots and few practice days where he made lots (close to 200 shots) of shots.
2) There are many different types of hot dogs produced in the U.S. The data to the
Beef
Poultry
right represents the published mean calorie contents of the various brands that
Y
produce beef hot dogs and the mean calorie contents of various brands that
186
129
produce poultry hot dogs. (Treat these as samples.)
181
132
a. Compute the mean calorie content for each type of hot dog. (beef and
176
102
poultry)
149
106
3137
184
94
Веef, x:
= 156.85 = 156.9
20
190
102
158
87
2019
Poultry, y:
17
= 118.76 = 118.8
139
99
175
107
b. Compute the median calorie content for each type of hot dog. (beef and
148
113
poultry)
152
135
111 131 132 135 139 141 148 149 149 152
111
142
141
86
153 157 158 175 176 181 184 186 190 190
153
143
305
190
152
= 152.5
2
152 + 153 =
157
146
Median Beef x = 152.5
131
144
149
86 87 94 99 102 102 106 107 113 129 132 135 142 143 144 146 152
135
Median Poultry y = 113
132
Total 3137
Total 2019
c.
Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry)
Standard Deviation Beef: s, = 22.642
Standard deviation Poultry: Sy = 22.55
d. Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry)
22.642
22.55
Beef: CV =
* 100 = 14.435%
Poultry: CV =
* 100 = 18.99%
156.85
118.765
e. Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry)
Beef: 111, 140, 152.5, 178.5, 190
Poultry: 86, 100.5, 113, 142.5, 152
f. Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry)
Beef: IQR, = Q3 – Q1 = 38.5
Poultry: 1QRY = Q3 – Q1 = 42
Transcribed Image Text:c. Is it reasonable to assume that this data is normally distributed? Explain your answer. Yes, this data has normal distribution because it appears to have a bell shape, which means that the majority of the time, Larry made between 170 and 180 3-point shots, with few practice days where he made fewer shots and few practice days where he made lots (close to 200 shots) of shots. 2) There are many different types of hot dogs produced in the U.S. The data to the Beef Poultry right represents the published mean calorie contents of the various brands that Y produce beef hot dogs and the mean calorie contents of various brands that 186 129 produce poultry hot dogs. (Treat these as samples.) 181 132 a. Compute the mean calorie content for each type of hot dog. (beef and 176 102 poultry) 149 106 3137 184 94 Веef, x: = 156.85 = 156.9 20 190 102 158 87 2019 Poultry, y: 17 = 118.76 = 118.8 139 99 175 107 b. Compute the median calorie content for each type of hot dog. (beef and 148 113 poultry) 152 135 111 131 132 135 139 141 148 149 149 152 111 142 141 86 153 157 158 175 176 181 184 186 190 190 153 143 305 190 152 = 152.5 2 152 + 153 = 157 146 Median Beef x = 152.5 131 144 149 86 87 94 99 102 102 106 107 113 129 132 135 142 143 144 146 152 135 Median Poultry y = 113 132 Total 3137 Total 2019 c. Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry) Standard Deviation Beef: s, = 22.642 Standard deviation Poultry: Sy = 22.55 d. Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry) 22.642 22.55 Beef: CV = * 100 = 14.435% Poultry: CV = * 100 = 18.99% 156.85 118.765 e. Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry) Beef: 111, 140, 152.5, 178.5, 190 Poultry: 86, 100.5, 113, 142.5, 152 f. Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry) Beef: IQR, = Q3 – Q1 = 38.5 Poultry: 1QRY = Q3 – Q1 = 42
g. Construct side-by-side boxplots. (These should make comparisons easy.)
180
160
Poultry
140-
120
Beef
100
Sort(var1)
Sort(var2)
Variable
h. Based upon the totality of your analysis, compare the calorie contents of beef and poultry hot dogs.
When comparing the beef hot dogs
the poultry hot dogs, the mean and median calorie content is
greater in the beef hot dogs than it is in the poultry hot dogs. About 75% of the beef hot dogs have more
than 140 calories and about 75% of the poultry hotdogs have less than 140 calories, therefore, the
variation measure are about the same.
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
i.
calorie conscious because of her new diet.
i. To which grill should Suzy go for her hot dog?
Suzy should eat the poultry hot dogs which have less calories since she is watching her caloric
intake.
ii. 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.
No, some poultry hot dogs have almost as many calories as some of the beef hot dogs as seen
on the boxplots, so it is possible that Suzy may get a higher calorie poultry hot dog.
Transcribed Image Text:g. Construct side-by-side boxplots. (These should make comparisons easy.) 180 160 Poultry 140- 120 Beef 100 Sort(var1) Sort(var2) Variable h. Based upon the totality of your analysis, compare the calorie contents of beef and poultry hot dogs. When comparing the beef hot dogs the poultry hot dogs, the mean and median calorie content is greater in the beef hot dogs than it is in the poultry hot dogs. About 75% of the beef hot dogs have more than 140 calories and about 75% of the poultry hotdogs have less than 140 calories, therefore, the variation measure are about the same. 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 i. calorie conscious because of her new diet. i. To which grill should Suzy go for her hot dog? Suzy should eat the poultry hot dogs which have less calories since she is watching her caloric intake. ii. 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. No, some poultry hot dogs have almost as many calories as some of the beef hot dogs as seen on the boxplots, so it is possible that Suzy may get a higher calorie poultry hot dog.
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