c) calculate the t-statistic for the observed difference in mean ages assuming t

Question

c) calculate the t-statistic for the observed difference in mean ages assuming that the true mean difference is 0

A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She hires an assistant to collect a random sample of houses from each neighborhood and finds that the summary statistics for the two neighborhoods are as shown. Complete parts a through c below Neighborhood 1 Neighborhood 2 n1 = 35 y15 56.244.5 Y2 = 1515277.29 s2 = 7.29 a) Find the estimated mean age difference, y1 -y2. between the two neighborhoods. The estimated mean age difference between the two neighborhoods is years. Type an integer or a decimal)

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(with pooled variances)

Hypothesis test results:

Hence,

A) Mean difference = 11.7

B) Standard error = 1.8435 [Rounded off to 4 decimal places; Please round it off as per question says]

C) t Statistic = 6.346 [Rounded off to 3 decimal places; Please round it off as per question says]

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 11.7 1.8435434 63 6.3464738 <0.0001

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