q09 sc1 10.1 Statistics Φ Name:

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 = $\frac{1+\sqrt{5}}{2}=1.618$

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. t_c = ___________________ Calculate t_critical 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?