Chapter 10, Problem 101H

Elizabeth Mjelde, an art history professor, was interested in whether the value from the Golden Ratio formula,

   $\left(\frac{\text{larger}\text{+}\text{smaller}\text{dimention}}{\text{larger}\text{dimention}}\right)$ was the same in the Whitney Exhibit for works from 1900 to 1919 as for works from 1920 to 1942. Thirty-seven early works were sampled, averaging 1.74 with a standard deviation of 0.11. Sixty-five of the later works were sampled, averaging 1.746 with a standard deviation of 0.1064. Do you think that there is a significant difference in the Golden Ratio calculation?