A developer wants to know if the houses in two different neighborhoods were buil
ID: 3371495 • Letter: A
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 accompanying table shows the data for each sample (in years). Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below.
a. Compute the t-statistic. Let the difference of the sample means be y1 - y2.
t = _____ (round to three decimals)
b. Find the? P-value.
The? P-value is ______ (round to four decimals)
c. Find a 95?% confidence interval using the pooled degrees of freedom.
(____,____) (round to two decimal places as needed)
Neighborhood 1
Neighborhood 2
54
53
47
39
68
50
49
34
55
47
51
59
Neighborhood 1
Neighborhood 2
54
53
47
39
68
50
49
34
55
47
51
59
Explanation / Answer
using Minitab
Two-Sample T-Test and CI: 1, 2
Two-sample T for 1 vs 2
N Mean StDev SE Mean
1 6 54.00 7.48 3.1
2 6 47.00 9.19 3.8
Difference = ? (1) - ? (2)
Estimate for difference: 7.00
95% CI for difference: (-3.94, 17.94)
T-Test of difference = 0 (vs ?): T-Value = 1.45 P-Value = 0.182 DF = 9
using Excel
a. Compute the t-statistic. Let the difference of the sample means be y1 - y2.
t = ____1.447071 _ (round to three decimals)
b. Find the? P-value.
The? P-value is ______0.178486849 (round to four decimals)
c. Find a 95?% confidence interval using the pooled degrees of freedom
(-3.94, 17.94)
t-Test: Two-Sample Assuming Unequal Variances 1 2 Mean 54 47 Variance 56 84.4 Observations 6 6 Hypothesized Mean Difference 0 df 10 t Stat 1.447071904 P(T<=t) one-tail 0.089243425 t Critical one-tail 1.812461123 P(T<=t) two-tail 0.178486849 t Critical two-tail 2.228138852Related Questions
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