Question

In: Statistics and Probability

Rudolph wants to test the hypothesis that black-nosed reindeer would be bullied less than red-nosed reindeer...

Rudolph wants to test the hypothesis that black-nosed reindeer would be bullied less than red-nosed reindeer (rated on a scale of 1-7, where 1 = no bullying and 7 = lots of bullying). The appropriate statistical test would be

a paired samples t-test.

a one-way ANOVA.

a Pearson’s r.

an independent samples t-test.

Solutions

Expert Solution

Given:

Bullying scale values of black-nosed and red-nosed reindeers are given.

Rate of scaling is 1-7

where 1=no bullying and 7 =lots of bullying

Hypothesis to be tested:

H0: Black-nosed reindeer is bullied less than red-nosed reindeer.

V/s

H1: Black-nosed reindeer is bullied more than red-nosed reindeer.

Paired samples t-test can be used when we have paired data. For example, marks scored by students before and after a seminar session. Here both before and after scores belong to the same student. Hence this test is not appropriate for the given question.

Pearson's correlation measures the statistical relationship or association among variables. For example, are height and weight of a person related to each other? If yes, how are they related? Positive or negative relation? Hence this test is not appropriate for the given question.

One - way ANOVA is used to compare means of independent samples. We determine whether there are any statistical differences in the means of samples. Here, the samples will be bullying scale values of black-nosed reindeers and red-nosed reindeers respectively. We check the hypothesis by comparing the mean of scaling values. Hence the appropriate statistical test would be One-way ANOVA.


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