of fosapprovalsaalesenreas.43.1s s peen in an investigation of he personality c
ID: 3129417 • Letter: O
Question
of fosapprovalsaalesenreas.43.1s s peen in an investigation of he personality c cteristics of dru dea ers of a certain rezion convicted dru dea ers were scored on a scale that provides a quantitative measure of a ersons eve of need or a ro and senatv y o soc a st ations iher scores nd cate a greater need or approva ased on the stu y results it can be assumed that the scale scores for the population of convicted drug dealers of the region has a mean of 41 and a standard deviaton of 7. Suppose that in a sample of 96 people from the region, thaale score isx 43. Is this sample likely to have been selected from the population of convicted drug dealers of the region? Explain. Consider an event with a probability less than 0.05 unlikely ln tt regjion, ths this to have elect the correct choice balow and fill in the answer box within vour choice (Round to four decimal places as needed) A. No, because the probability that a randomly selected sample of convicted drug dealers of the region has a sample mean of 43 or greater iswhich is less than 0.05 OB No, because the probability that a randomly selected sample of convicted drug dealers of the region has a sample mean of 43 or less 13 which is greater than 0.05 Oc. Yes, because the probability that a randomly selected sample of convicted drug dealers of the region has a sample mean of 43 or greater iswhich is greater than 0.05 C. Yes, because the probability that a randomly selected sample of convicted drug dealers of the region has a sample mean of 43 or peater ”which " greater than 0.05.Explanation / Answer
Standard error = sd/sqrt(n)= 7/sqrt(96) =0.7144
Z value for 43, z=(43-41)/0.7144 =2.80
P( mean x > 43) = P(z >2.80) = 0.0026
A). No because the probability that a randomly selected sample of convicted drug dealers of the region has a sample mean of 43 or greater is 0.0026 which is less than 0.05
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