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In: Statistics and Probability

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided...

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with 5% P-value or 95% confidence interval.

Open Brain data. SETUP: It is believed that the larger the head circumference the larger the brain volume should be. Given the data your job is to confirm or disprove this assertion.

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

1. What test/procedure did you perform?

  • a. One-sided t-test
  • b. Two-sided t-test
  • c. Regression
  • d. Confidence interval

2. What is the P-value/margin of error?

  • a. 9.30595E-20
  • b. 0.304733709
  • c. 0.022233887
  • d. 1.86119E-19
  • e. None of these

3. Statistical interpretation

  • a. Since P-value is very small we are confident that the average of the first sample is smaller than the other
  • b. Since P-value is very small we are very confident that the averages are different.
  • c. Since P-value is very small we are confident that the slope of regression line is not zero.
  • d. None of these.

4. Conclusion

  • a. Yes, I am confident that the above assertion is correct.
  • b. No, we cannot claim that the above assertion is correct.

Solutions

Expert Solution

orchestra answered 1 year ago
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