b. The same article reported the mean size was more than 2,100 square feet. Can
ID: 3127496 • Letter: B
Question
b. The same article reported the mean size was more than 2,100 square feet. Can weconclude that the mean size of homes sold in the Goodyear, AZ, area is more than2,100 square feet? Use the .01 significance level. What is the p -value?
Size 2300 2100 2300 2200 2100 2100 2500 2100 2300 2400 2100 1700 2500 2100 2300 2100 2200 2300 2200 1900 2600 1900 2100 2600 2100 2200 1900 2100 2200 2000 1700 2000 2400 2000 1900 2000 2300 2600 2100 2200 2100 1900 2100 2000 2300 2400 2200 2200 2000 2200 2200 2200 2200 1900 2300 1700 2200 2300 1600 2200 2400 2000 2200 2000 2100 2200 2200 2500 2100 2200 2100 2000 2400 1900 1900 2600 2300 2500 2400 2400 2300 2700 2300 2500 2600 2300 1900 2700 2300 2500 2300 2400 2500 2400 2100 2900 2100 2300 2900 2400 2400 2100 2900 2100 2300Explanation / Answer
Set Up Hypothesis
Null, H0: U=2100
Alternate, H1: U>2100
Test Statistic
Population Mean(U)=2100
Sample X(Mean)=2223.81
Standard Deviation(S.D)=248.66
Number (n)=105
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =2223.81-2100/(248.66/Sqrt(105))
to =5.102
| to | =5.102
Critical Value
The Value of |t | with n-1 = 104 d.f is 2.363
We got |to| =5.102 & | t | =2.363
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 5.102 ) = 0
Hence Value of P0.01 > 0,Here we Reject Ho
We have evidence that same article reported the mean size was more than 2,100 square feet
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