Open Brains data. Test if the weight of people with Brain Volume = 1100 or more
ID: 3062226 • Letter: O
Question
Open Brains data. Test if the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average. Answer questions 13 to 16. 13. What test did you perform? (6.25 points) a. Simple Regression b. Multiple Regression c. Two sided t-test d. None of these 14. What is the P-value? (6.25 points) a. 0.932448 b. 0.000826 c. 0.379046 d. None of these 15. What is the Statistical interpretation? (6.25 points) a. The P-value is too large to have a conclusive answer. b. The P-value is greater than 5% thus we are very certain that the averages are significantly different. c. The P-value is greater than 5% we are not confident that the slope is not zero. d. The P-value is smaller than 5% thus we are very certain that the averages are significantly different. d. None of these 16. What is the conclusion? (6.25 points) a. Since the test is inconclusive the conclusion is inconclusive as well. b. The test is inconclusive and more data is needed. c. We can claim that the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average. d. We cannot claim that the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average. e. None of these DATA:CCMIDSA: Corpus Collasum Surface Area (cm2) FIQ: Full-Scale IQ HC: Head Circumference (cm) ORDER: Birth Order PAIR: Pair ID (Genotype) SEX: Sex (1=Male 2=Female) TOTSA: Total Surface Area (cm2) TOTVOL: Total Brain Volume (cm3) WEIGHT: Body Weight (kg) 8.42 96 57.2 1 6 1 1806.31 1079 61.236 7.44 88 57.2 1 7 1 2018.92 1104 79.38 6.84 85 57.2 1 8 1 2154.67 1439 99.792 6.48 97 57.2 1 9 1 1767.56 1029 81.648 6.43 124 58.5 1 10 1 1971.63 1160 72.576 7.62 101 57.2 2 6 1 1689.6 1173 61.236 6.03 93 57.2 2 7 1 2136.37 1067 83.916 6.59 94 55.8 2 8 1 1966.81 1347 97.524 7.52 114 56.5 2 9 1 1827.92 1100 88.452 7.67 113 59.2 2 10 1 1773.83 1204 79.38 6.08 96 54.7 1 1 2 1913.88 1005 57.607 5.73 87 53 1 2 2 1902.36 1035 64.184 6.22 101 57.8 1 3 2 2264.25 1281 63.958 5.8 103 56.6 1 4 2 1866.99 1051 133.358 7.99 127 53.1 1 5 2 1743.04 1034 62.143 7.99 89 54.2 2 1 2 1684.89 963 58.968 8.76 87 52.9 2 2 2 1860.24 1027 58.514 6.32 103 56.9 2 3 2 2216.4 1272 61.69 6.32 96 55.3 2 4 2 1850.64 1079 107.503 7.6 126 54.8 2 5 2 1709.3 1070 83.009
Explanation / Answer
Open Brains data.
Test if the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average.
Answer questions 13 to 16.
13. What test did you perform? (6.25 points)
a. Simple Regression
b. Multiple Regression
c. Two sided t-test
d. None of these
Sol: Here we are supposed to test if mean weight of people with brain volume >=1100 is different than mean weight of people with brain volume <1100
This is type of two sided t-test, hence option c is correct.
14. What is the P-value? (6.25 points)
a. 0.932448
b. 0.000826
c. 0.379046
d. None of these
Sol:
The data for this analysis is as follows:
To test if there is significant difference between mean of both variables, we perform two sided t-test in excel. Excel gives following output:
Assumption: The two samples are came with a population with same variance.
The p-value for two tailed test is 0.93557.
Hence option d. None of these is correct.
15. What is the Statistical interpretation? (6.25 points)
a. The P-value is too large to have a conclusive answer.
b. The P-value is greater than 5% thus we are very certain that the averages are significantly different.
c. The P-value is greater than 5% we are not confident that the slope is not zero.
d. The P-value is smaller than 5% thus we are very certain that the averages are significantly different.
e. None of these
Sol: Observe that the p-value is 0.9355 which is greater than 0.05, hence we conclude that there is significant difference between two averages.
Hence correct option is:
b. The P-value is greater than 5% thus we are very certain that the averages are significantly different.
16. What is the conclusion? (6.25 points)
a. Since the test is inconclusive the conclusion is inconclusive as well.
b. The test is inconclusive and more data is needed.
c. We can claim that the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average.
d. We cannot claim that the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average.
e. None of these
Sol:
c. We can claim that the weight of people with Brain Volume = 1100 or more and the weight of people with Brain Volume less than 1100 are significantly different on average.
brain weight >=1100 brain weight < 1100 79.38 61.236 99.792 81.648 72.576 83.916 61.236 57.607 97.524 64.184 88.452 133.358 79.38 62.143 63.958 58.968 61.69 58.514 107.503 83.009Related Questions
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