# 50 please. Dhe THOTIeS U sdoups or above d. Find the median selling price of t

Question

# 50 please.

Dhe THOTIeS U sdoups or above d. Find the median selling price of the homes. at sold for there a difference in the proportion of homes with a pool that sold at ess median price versus those that sold for less than the median price? Use nificance level. that sold for more than (or equal to) the median price and those that Address the e. Write a summary report on your findings to parts (a), (b), (c), and (d). Addsr report to all real estate agents who sell property in Goodyear 50. Refer to the Baseball 2010 data, which report information on the 30 Major League Base ball teams for the 2010 season. a. At the .05 significance level, can we conclude that there is a difference in the mear b. At the .05 significance level, can we conclude that there is a difference in the mean payroll of teams in the American League versus teams in the National League? home attendance of teams in the American League versus teams in the National League? c. Compute the mean and the standard deviation of the number of wins for the 10 teams with the highest payrolls. Do the same for the 10 teams with the lowest payrolls.At the.05 significance level, is there a difference in the mean number of wins for the twc groups? 51. Refer to the Buena School District bus data. Is there a difference in the mean mainter nance cost for the diesel versus the gasoline buses? Use the .05 significance level

Explanation / Answer

a)

H0: 1 - 2 = 0 i.e. (1 = 2) (No diff in payroll between American and National League)

      H1: 1 - 2 0 i.e. (1 2) (Diff in payroll between American and National League)

            

We consider American League as population 1 and National League as population 2. Assuming population variances are equal, we would have to calculate pooled-variance t-Test as shown below: -

Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)

         = (14-1)*44.51^2+(16-1)*33.63^2/13+15

         = 25750.95+16963.55/28

         = 1525.5179

tSTAT=(X1-X2)-(µ1-µ2)/Sp^2(1/n1+1/n2)

       =(94.66-86.575)-0/1525.5179(1/14+1/16)

       =8.09/14.29

       =0.5659

tCRIT is -/+2.05 and hence cannot reject the null hypothesis. We have evidence that there is no diff in payroll between American and National League.

b)

H0: 1 - 2 = 0 i.e. (1 = 2) (No diff in attendance between American and National League)

      H1: 1 - 2 0 i.e. (1 2) (Diff in attendance between American and National League)

            

We consider American League as population 1 and National League as population 2. Assuming population variances are equal, we would have to calculate pooled-variance t-Test as shown below: -

Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)

         = (14-1)*0.72^2+(16-1)*0.66^2/13+15

         = 6.7+6.57/28

         = 0.4739

tSTAT=(X1-X2)-(µ1-µ2)/Sp^2(1/n1+1/n2)

       =(2.23-2.62)-0/0.4739(1/14+1/16)

       ==-0.39/0.25

       =-1.547

tCRIT is -/+2.05 and hence cannot reject the null hypothesis. We have evidence that there is no diff in attendance between American and National League.

c)

H0: 1 - 2 = 0 i.e. (1 = 2) (No diff in wins between highest and lowest payroll)

H1: 1 - 2 0 i.e. (1 2) (Diff in wins between highest and lowest payroll)

            

We consider lowest payroll wins as population 1 and highest payroll wins as population 2. Assuming population variances are equal, we would have to calculate pooled-variance t-Test as shown below: -

Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)

         = (10-1)*13.68^2+(10-1)*10.97^2/9+9

         = 1684+1083.6/18

         = 153.76

tSTAT=(X1-X2)-(µ1-µ2)/Sp^2(1/n1+1/n2)

       =(81-80.8)-0/153.76(1/10+1/10)

       =0.2/5.55

       =0.036

tCRIT is -/+2.1 and hence cannot reject the null hypothesis. We have evidence that there is no diff in wins between highest and lowest payroll teams.

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