A developer wants to know if the houses in two different neighborhoods were buil

Question

A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The table shows the data for each sample (in years).
Neighborhood 1 Neighborhood 2
61............ 53
59............ 37
54............ 34
46............ 55
56............ 56
48............ 59

a) find the sample means for each neighborhood

y1=____ years

y2=____ years

b) find the estimated diference of the mean ages of the two neighborhoods, y1-y2

c) find the sample variances for each neighborhood

S2/1=

S2/2=

d) find the sample standard deviations for each neigborhood

S1=

S2=

e) find the standard error of the difference of two sample means

SE(y1-y2)=

Explanation / Answer

A) MEAN = SUM OF ALL OBSERVATION/ TOTAL NUMBER

Y1 MEAN = 324/6 = 54

Y2 MEAN = 294/6 = 49

B) Y1-Y2 = 54-49 = 5

C) Y1 VARIANCE =

Y2 VARIANCE

D) Y1 STANDARD DEVIATION = 35.6^(1/2) = 5.96

Y2 STANDARD DEVIATION = 114^(1/2) = 10.67

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.