\fA psychologist is interested in the conditions that affect the number of dreams per month that people report in which they are alone. We will assume that based on extensive previous research, it is known that in the general population the number of such dreams per month follows a normal curve, with a mean of 5 and a standard deviation of 4. The researcher wants to test the prediction that the number of such dreams will be different among people who have recently experienced a traumatic event. Thus, the psychologist studies 36 individuals who have recently experienced a traumatic event, having them keep a record of their dreams for a month. Their mean number of alone dreams is 8. Should you conclude that people who have recently had a traumatic experience have a signicantly different number of dreams in which they are alone? Use a .05 signicance level. 0 Z=4.5; cutoff Z=i1.96; Reject the null hypothesis 0 Z=4.5; cutoff Z=i1.96; Do not reject the null hypothesis of such dreams per month follows a normal curve, with a mean of 5 and a standard deviation of 4. The researcher wants to test the prediction that the number of such dreams will be different among people who have recently experienced a traumatic event. Thus, the psychologist studies 36 individuals who have recently experienced a traumatic event, having them keep a record of their dreams for a month. Their mean number of alone dreams is 8. Should you conclude that people who have recently had a traumatic experience have a significantly different number of dreams in which they are alone? Use a .05 significance level. O Z=4.5; cutoff Z=+1.96; Reject the null hypothesis O Z=4.5; cutoff Z=+1.96; Do not reject the null hypothesis O Z=.75; cutoff Z=+1.96; Reject the null hypothesis O Z=.75; cutoff Z=+1.96; Do not reject the null hypothesisD Question 1 5 pts For each of the situations in the table below (a through g), find the standard deviation of the distribution of means. Population Sample Size Mean Variance N (a) 100 40 10 100 30 10 (C) 100 20 10 100 10 10 50 10 10 9303 100 40 20 100 10 20A researcher is interested in whether people become worse at identifying emotions correctly when they are tired. It is known that, using a particular method of assessment, the accuracy ratings of people in the general population (who are not extremely tired) are normally distributed with a mean of 82 and a standard deviation of 20. In the present study, however, the researcher arranges to test 50 people who had no sleep the previous night to see if they will do worse. The mean accuracy for these 50 individuals was 78. Using the .05 level, test whether the null hypothesis should be rejected. 0 Z=-O.2; cutoff Z=-1.65; Do not reject the null hypothesis 0 Z=1.41; cutoff Z=-1.65; Do not reject the null hypothesis 0 Z=O.2; cutoff Z=i1.96; Do not reject the null hypothesis O Z=-1.41; cutoff Z=-1.65; Reject the null hypothesis O Z=1.41; cutoff Z=+1.65; Do not reject the null hypothesis