Guinea pig survival times. Here are the survival times in days of 72 guinea pigs
ID: 3203488 • Letter: G
Question
Guinea pig survival times. Here are the survival times in days of 72 guinea pigs after they were injected with infectious bacteria in a medical experiment. Survival times, whether of machines under stress or cancer patients after treatment, usually have distributions that are skewed to the right. 43 45 53 56 56 57 58 66 67 73 74 79 80 80 81 81 81 82 83 83 84 88 89 91 91 92 92 97 99 99 100 100 101 102 102 102 103 104 107 108 109 113 114 118 121 123 126 128 137 138 139 144 145 147 156 162 174 178 179 184 191 198 211 214 243 249 329 380 403 511 522 598 Graph the distribution and describe its main features. Does it show the expected right-skew? Which numerical summary would you choose for these data? Calculate your chosen summary. How does it reflect the skewness of the distribution?Explanation / Answer
a. By using minitab we can solve this question.
First enter all data into minitab
Click on Graph -------> stem and leaf plot ----> select column ------> ok
we get
MTB > Stem-and-Leaf C1.
Stem-and-Leaf Display: C1
Stem-and-leaf of C1 N = 72
Leaf Unit = 10
2 0 44
30 0 5555566777888888888889999999
(24) 1 000000000001112222333444
18 1 56777899
10 2 1144
6 2
6 3 2
5 3 8
4 4 0
3 4
3 5 12
1 5 9
Using plot we can say that given data is right skew.
b. Numerical summary of the data.
Now we have to find numerical summary of the data.
Click on Stats-------> Basic Statistics --------> Display Descriptive Statistics----> Select values------->ok
MTB > Describe C1;
SUBC> Mean;
SUBC> StDeviation;
SUBC> QOne;
SUBC> Median;
SUBC> QThree;
SUBC> Minimum;
SUBC> Maximum.
Descriptive Statistics: C1
Variable Mean StDev Minimum Q1 Median Q3 Maximum
C1 141.8 109.2 43.0 82.3 102.5 153.8 598.0
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