SOLUTION: B. In a certain city, a researcher wishes to determine whether the average income of residents is P13, 000. Using a sample of 22 residents, he found a mean income of P13 565.25 wit
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Question 1181768: B. In a certain city, a researcher wishes to determine whether the average income of residents is P13, 000. Using a sample of 22 residents, he found a mean income of P13 565.25 with a standard deviation of P2500. At 𝛼=0.01, can the researcher conclude that the average income of the population is indeed P13 000?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: mu is 13000
Ha: mu is not 13000
alpha=0.01 p{reject Ho|Ho true}
test stat is a t(0.995, df=21) with critical value |t| > 2.831
calculation is t=(13565.25-13000)/2500/sqrt(22)
=565.25*sqrt(22)/2500
=1.061
insufficient evidence to reject Ho at the 0.01 level
p-value=0.30
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