A psychologist is interested in the conditions that effect thenumber of dreams p

Question

A psychologist is interested in the conditions that effect 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 poplulation the number of such dreamsper month follows the normal curve, with =5 and =4. Theresearcher wants to test the prediction that the number of suchdreams will be greater among people who have recently experienced atraumatic event. Thus, the psychologist studies 36 individuals whohave recently experienced a traumatic event, having them keep arecord of their dreams for a month. The mean number of alone dreamsis 8. Should you conclude that people who have recently had atraumatic experience have a significantly different number ofdreams in which they are alone?
First carry out a Z test using the five steps of hypothesis testing(use the .05 level).

Explanation / Answer

Given =5 and =4, xbar=8, n=36 =0.05, Z(0.025)=1.96 (check normal table) The hypothesis is Ho: =5 Ha: not equal 5 The statistic test is Z=(xbar-)/(/n) =(8-5)/(4/sqrt(36)) =4.5 Since Z=4.5 > 1.96, we reject Ho. Thus, we conclude that peoplewho have recently had a traumatic experience have a significantlydifferent number of dreams in which they are alone.

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