- Problem 30 The Hot Candidate For Ig Nobel Prize Ig Nobel Is A Pun On The Nobel Prize And On The Word Ignobel The A 1 (206.92 KiB) Viewed 82 times
handwriting. Thank you!
Problem 30 The hot candidate for Ig Nobel Prize ("Ig Nobel” is a pun on the Nobel Prize and on the word “ignobel”, the antonym to nobel) is a group of researchers who examined the BMI (body mass index) of snowmen. The main motivation for their experiment is to verify whether snowmen resemble people who make them. As the population of people is getting more and more overweighed (cf. https://ncdrisc.org/data-visualisations.html), their research question is whether the snowmen are also increasing in size. In Table 5, we have a sample of data from this research at our disposal, which shows the BMI of snowmen made in the Czech Republic in 2016. 41.9 17.0 36.2 52.8 27.6 27.0 11.9 49.2 38.8 26.2 45.9 21.1 52.4 7.7 18.4 36.1 25.3 19.4 12.8 33.3 50.5 55.8 18.5 15.6 22.7 22.4 35.0 30.5 Table 5: Observations for Problem 30, the BMI of snowmen Test at 10% significance level, if the snowmen are indeed following the same BMI as male population in the Czech Republic, which was 28.2 kg/m² in 2016. What about 3% significance level? What additional assumptions do you need in order to perform this test? If possible, test these assumptions as well. r= 15 cm r = 22.5 cm r= 30 cm V = 14 137.2 cm V = 47 712.9 cm V = 113 097.3 cm3 sum V = 174 947.4 cm p = 0.4 g/cm m = 70 kg BMI = 70/(1.352) = 38.4 kg/m² Figure 1: How to calculate the BMI of a snowman? We work with a density of wet snow that is the most suitable for making snowmen.