A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .

Solution :

                    Sample size       Sample mean             Sample S.D.

Sample 1                                    

Sample 2                                  

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error,

                                          = 559.9896

Lower limit,

Upper limit,  

Therefore 90% C.I. is (44402.0104, 55597.9896)   or

2.56 is the width of the garden

step-by-step explanation:

addition

step-by-step explanation: