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 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 E Click the icon to view the data table a) Test the null hypothesis at = 0.05 using the pooled t-test. Identify the null and alternative hypotheses. Choose the correct answer below C. D. Ho : 1-2 = 0 Compute the t-statistic. Let the difference of the sample means be y1-y2 t= 2.746 (Round to three decimal places as needed.) Find the P-value The P-value is (Round to four decimal places as needed.)

Explanation / Answer

Solution :

Given that ,

n = 6

Degrees of freedom = n - 1 = 6 - 1 = 5 and t = 2.746 .

Using t table the p value for two tailed test is ,

P-value = 0.0405

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