Quiz: MAT 122 QUIZ #2 SP18 This Quiz: 18 pts pos g data table describes results
ID: 3055645 • Letter: Q
Question
Quiz: MAT 122 QUIZ #2 SP18 This Quiz: 18 pts pos g data table describes results from groups of 10 births from 10 different sets of El Click the icon to view the data table. numbers of giris in 10 birthsMore Info The maximum usual value is (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births an unusually low number of giris? Explain. A. Yes, I gris an unusually low number of gris, because I grl is less than the maximum usual value O B. Yes, 1 girl is an unusually low number of giris, because 1 girl is outside of the range of usual values O C. No, 1 girl is not an unusually low number of girls, because 1 girl is less than the minimum usual value O D. Not enough information is given 0.011 0.039 0.115 0.196 0.243 0.199 0.116 0.044 0.016 Print DoneExplanation / Answer
From the Probability Distribution data given, we can calculate the Mean and Standard Deviation as below:
The range rule of thumb for the maximum and minimum usual value are given by the formula below, where and are the mean and standard deviation, respectively, for a probability distribution.
maximum usual value = + 2; maximum usual value = - 2
The maximum usual value = 5.095 + 2 x 1.7361 = 8.5672 ~ 8.6
The minimum usual value = 5.095 - 2 x 1.7361 = 1.6228 ~ 1.6
Based on the result, 1 girl in 10 births is an unusually low number of girls, because 1 girl is outside of the range of usual values.
Option B is correct.
X P(X) X*P(X) P(X)*(X-E(X))2 0 0.005 0 0.12980 1 0.011 0.011 0.18446 2 0.039 0.078 0.37358 3 0.115 0.345 0.50474 4 0.196 0.784 0.23501 5 0.243 1.215 0.00219 6 0.199 1.194 0.16299 7 0.116 0.812 0.42097 8 0.044 0.352 0.37132 9 0.016 0.144 0.24398 10 0.016 0.16 0.38494 SUM 5.095 3.01398 Standard Deviation = 1.73608Related Questions
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