Example Problems

1) A cruise line wants to find out if people are happier taking cruises with city or beach destinations.  They ask 6 people on a beach cruise and 6 people on a city cruise to rate how happy they are on a scale of 1-10, with 10 being the highest rating possible.  Is there a difference in how happy the beach and city cruise people were?

Beach City
5 2
6 4
8 3
4 2
6 3
9 2

Video solution for problem

slides for independent samples t test demo 1

2) A sponsoring company wants to find out if Asian or European climbers are better.  They measure how many attempts it takes 5 Asian climbers and 5 European climbers to get to the top of a difficult route.

European Asian
4 3
3 5
5 1
6 7
4 2

Video solution to problem

slides for independent samples t test demo 2

Answers

1) People are happier with beach cruises (M = 6.34, SD = 1.86) than city cruises (M = 2.67, SD = 0.82) (t (10) = 4.42, p < 0.05, Cohen’s d= 2.55).

2) There is no difference in the amount of attempts Europeans (M = 4.4, SD = 1.14) and Asians needed (M = 3.6, SD = 2.41) (t (8) = 0.67, p > 0.05, Cohen’s d= 0.43).

More videos demonstrating hand calculations

More sample problems

http://web.mst.edu/~psyworld/texample.htm

http://psychnut.com/statistics/practice-problems-ttest/

http://psychnut.com/statistics/more-practice-problems-ttest/

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