When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., XXXXXXXXXXThe following data demonstrate...

When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon.  The participants learned a visual discrimination task on one day.  Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night.

 6 hours sleep No sleep

                                           n =14                                                  n = 14

                                          M = 72                                                M =65

                                          SS = 932                                            SS = 706

Is there a significant difference between the two conditions?
Use a two-tailed test with α = .01.

Remember to use the attached t-distribution chart when obtaining your critical region.

Please answer the question using all of the steps: null in word, alternative in words, null in symbols, alternative in symbols, critical region t,  df,  all steps in the analysis computing your independent computed t, make a decision, and give a conclusion.