Question

1. Researchers took random samples from two different neighborhoods to de- termine whether daily face-to-face interactions with neighbors vary by the neighborhood. Residents of Neighborhood 1 reported an average of 1.42 face-to-face interactions per day and those in Neighborhood 2 reported 1.58 interactions. Is this difference significant at an alpha level of 0.05?

Face-to-face Interactions by Neighborhood

Sample 1 (Neighborhood 1)

X̄1 = 1.42
s1 = 0.10
n1 = 43

Sample 2 (Neighborhood 2)

X̄2 = 1.58
s2 = 0.78
n2 = 37

Answer 1

Conclusion:

Since p-value = 0.2231 is greater than equal to alpha = 0.05

Then it is concluded that the null hypothesis Ho is fail to reject.

Therefore there is sufficient evidence to claim that the there is not different significant to an alpha level of 0.05