A psychologist is interested in the conditions that affect thenumber of dreams per month that people report in which they arealone. We will assume that based on extensive previous research, itis known that in the general population the number of such dreamsper month follows a normal curve, with ?= Unknown node type: spanand ?=4 . The researcher wants to test the prediction that thenumber of such dreams will be greater among people who haverecently experienced a traumatic event. Thus, the psychologiststudies 36 individuals who have recently experienced a traumaticevent, having them keep a record of their dreams for a month. Theirmean number of alone dreams is 8. Should you conclude that peoplewho have recently had a traumatic experience have a significantlydifferent number of dreams in which they are alone? (a) Carry out aZ test using the five steps of hypothesis testing (use the .05level). (b) Make a drawing of the distributions involved. (c)Explain your answer to a person who has never had a course instatistics. (d) ADVANCED TOPIC: Figure the 95% confidenceinterval.