q09 sc1 10.1 Statistics Φ Name: FiboBelly ratio chart

FLFiboBelly ratio
AS 1.600
YW 1.636
HP 1.655
CH 1.655
LR 1.690
LN 1.714
GS 1.714
AG 1.720


The FiboBelly ratio is the ratio of your height in centimeters divided by the height of your belly button (your height divided by the long measure in the diagram). A well circulated myth is that this ratio is, on average, the golden ratio:

Φ = 1+5 2 = 1.618

Retain four face digits in your answers! Enter data carefully, double check your data entry!

  1. n = __________ Calculate the sample size n for the data.
  2. x = ___________________ Calculate the sample mean x.
  3. sx = ___________________ Calculate the standard deviation sx.
  4. SE = ___________________ Calculate the standard error SE
  5. df = _________ Calculate the number of degrees of freedom.
  6. tc = ___________________ Calculate tcritical using a 95% level of confidence.
  7. E = ___________________ Calculate the margin of error for the mean E.
  8. p(___________________ ≤ μ ≤ ___________________) = 0.95
    Calculate the 95% confidence interval for the population mean μ.
  9. _______ Is the golden ratio Φ = 1.618 a possible population mean μ for the sample FiboBelly data?
  10. _______ Does the data provide support for a FiboBelly ratio of 1.618? Put another way, based on the data is the FiboBelly ratio 1.618?