In: Statistics and Probability
A researcher wanted to know whether losing one night sleep can affect problem solving. A sample of n = 25 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the first and the second score was recorded: MD = 4.7 and standard deviation of the difference score was s = 8.
Do the data indicate a significant change in problem solving ability? Use a two-tailed testwith α = .05.
1. The null hypothesis in words is?
2. The alternative hypothesis in symbols is?
3. The critical t-values are?
4. The t-statistic is?
5. Your decision is? Reject the null hypothesis of Fail to reject?
6. Estimated Cohen’s d is?