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