A developer collects a random sample of the ages of houses from two neighborhood

Question

A developer collects a random sample of the ages of houses from two neighborhoods and finds that the summary statistics for each are as shown. Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below a) Test the null hypothesis at alpha = 0.05 using the pooled t-test. Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: mu_1 = mu_2 = 0 H_A: mu_1 - mu_2 notequalto 0 B. H_0: mu_1 - mu_2 notequalto 0 H_A: mu_1 - mu_2 = 0 C. H_0: mu_1 - mu_2 = 0 H_A: mu_1 - mu_2

Explanation / Answer

z for 95% CI= 1.96
declare p larger than alpha=0.05 not significant.

mean1 eq: 56.2; mean2 eq: 47.2

Population standard deviation
estimated using sample
T-distribution used

Difference between means:
9 se=1.4369
95% CI of difference:
6.1838 <9< 11.816 (Wald)
t= 6.264; df= 29; p= 1
(left p: 0; two sided: 0)

reject null hypothesis

since p>0.05

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