Question

In: Statistics and Probability

Your hapless statistics professor and the National Association of Pillow-makers (NAP) have asked you to investigate...

Your hapless statistics professor and the National Association of Pillow-makers (NAP) have asked you to investigate the insidious impact of caffeine consumption on student-professor relations. To study the topic you collect the following information about the number of cups of coffee consumed by a sample of students in a given day during finals week and the number of violent thoughts they have about their professors.

Student # Cups of coffee Violent thoughts

1 6 5

2 3 2

3 2 8

4 4 9

5 3 3

6 0 1

7 1 4

8 5 6

9 7 7

10 4 0

With a single statistic, summarize the strength and the direction of the association between the number of cups of coffee consumed and the number of violent thoughts for this group of students. Be sure to name and interpret the statistic you use.
Do your data provide enough evidence to conclude that the association between coffee consumption and violent thoughts exists in the population from which your sample was drawn? (Again, you will need to perform a hypothesis test.) Explain your answer and show all necessary work. You should write out the research and null hypotheses in Greek notation.

Expert Solution

a. Pearson correlation of Cups of coffee and Violent thoughts=r = 0.380

i.e. the association between the number of cups of coffee consumed and the number of violent thoughts for this group of students is positive (direction) i.e. if the number of cups of coffee consumed increases then the number of violent thoughts also increases. However strength of association is poor.

Hence data do not provide enough evidence to conclude that the association between coffee consumption and violent thoughts exists in the population from which your sample was drawn.

orchestra answered 2 years ago

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