In what follows use any of the following tests/procedures:Regression, confidence intervals, one-sided t-test, or two-sidedt-test. All the procedures should be done with 5% P-value or 95%confidence interval.
Use the Brains data. SETUP: Is it reasonable toclaim that the average head circumference is less than 56?
5. What test/procedure did you perform?
- a. One-sided t-test
- b. Two-sided t-test
- c. Regression
- d. ​​Confidence interval
6. What is the P-value/margin of error?
- a. 2.30791
- b. 0.00166
- c. 4.72877
- d. 5.21228
- e. ​​None of these
7. Statistical interpretation
- a. We are 95% certain that the 56 is not within the confidenceinterval.
- b. Since P-value is small enough the above claim isreasonable.
- c. Since P-value is too large the above claim is notreasonable.
- d. ​​None of these.
8. Conclusion
- a. Yes, I am confident that the above claim is correct.
- b. No, we cannot claim that the above claim is correct.
DATA : https://www.limes.one/Content/DataFiles/Brains.txt
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 61.2367.44 88 57.2 1 7 1 2018.92 1104 79.386.84 85 57.2 1 8 1 2154.67 1439 99.7926.48 97 57.2 1 9 1 1767.56 1029 81.6486.43 124 58.5 1 10 1 1971.63 1160 72.5767.62 101 57.2 2 6 1 1689.6 1173 61.2366.03 93 57.2 2 7 1 2136.37 1067 83.9166.59 94 55.8 2 8 1 1966.81 1347 97.5247.52 114 56.5 2 9 1 1827.92 1100 88.4527.67 113 59.2 2 10 1 1773.83 1204 79.386.08 96 54.7 1 1 2 1913.88 1005 57.6075.73 87 53 1 2 2 1902.36 1035 64.1846.22 101 57.8 1 3 2 2264.25 1281 63.9585.8 103 56.6 1 4 2 1866.99 1051 133.3587.99 127 53.1 1 5 2 1743.04 1034 62.1437.99 89 54.2 2 1 2 1684.89 963 58.9688.76 87 52.9 2 2 2 1860.24 1027 58.5146.32 103 56.9 2 3 2 2216.4 1272 61.696.32 96 55.3 2 4 2 1850.64 1079 107.5037.6 126 54.8 2 5 2 1709.3 1070 83.009
