What statistical test would you use in the each of the following situations? Giv

Question

What statistical test would you use in the each of the following situations? Give the full name of the test, list any assumptions and state the null hypothesis: You want to know if a stack of playing cards is 'fair' (where half of the cards arc red and half are black). You pick one card at a time randomly and replace each card and shuffle. Out of 9 cards. 7 are red and 2 are black. You are interested in whether a rare grassland plant (Species "A") has a clumped, random or dispersed distribution in space. You examine 50 quadrats, each 1 meter by 1 meter in size, and you count the number of individuals of species A in each quadrat. What is the null distribution? You measure the heights of 29 randomly sampled silver trees in Brighton. NY and want to know if their mean is 35meters.

Explanation / Answer

a) Run Test for randomness

Sample observations are independent is the only assumption under H0:Pack of playing cards is fair

b) H0: the rare grassland plant do not have a clumped dispersed distribution in space. such that (theta)= (theta)0

Use wilcoxon signed rank test.

c) Ordinary sign test

d) Mann- whitney U test. it is a non-parametric alternative for 2 sample t- test

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