In: Statistics and Probability
. A psychologist is interested in determining whether immediate memory capacity is affected by sleep loss. Immediate memory is defined as the amount of material that can be remembered immediately after it has been presented. Twelve students are randomly selected from lower division college courses and randomly assigned to two groups of 6 each. One of the groups is sleep deprived for 24 hours before the material is presented. All subjects in the other group receive the normal amount of sleep (7-8 hours). The material consists of a series of slides, with each slide containing nine numbers. Each slide is presented for a short time interval (50 milliseconds), after which the subject must recall as many numbers as possible. On the following page are the results. The scores represent the percentage correctly recalled.
Normal Sleep Group: 68 73 72 65 70 73
Sleep Deprived Group: 70 62 68 63 69 60
a. Describe (1) the independent variable and its levels, and (2) the dependent variable and its scale of measurement.
b. Describe the null and alternative hypotheses for the study described.
c. Using Excel, conduct a statistical test of the null hypothesis at p = .05. Be sure to properly state your statistical conclusion.
d. Provide an interpretation of your statistical conclusion in part C.
e. What type of statistical error might you have made in part C?
f. Obtain the 95% confidence interval using the obtained statistic.
g. Provide an interpretation of the confidence interval obtained in part f.
h. Does the confidence interval obtained support your statistical conclusion? Explain your answer