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. Test the null hypothesis at alpha = 0.05 using the pooled t-test. Identify the null and alternative hypotheses. Compute the t-statistic. Let the difference of the sample means be y overbar 1 - y overbar 2. Find the P-value. State the conclusion. B. Find a 95% confidence interval using the pooled degrees of freedom. C. A 95% confidence interval for the mean difference in ages of houses in the two neighborhoods was left parenthesis negative 6.53 comma 10.53 right parenthesis. Is this result different from the result of the pooled-t confidence interval? Explain why or why not.
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
A. Test the null hypothesis at alpha = 0.05 using the pooled t-test. Identify the null and alternative hypotheses. Compute the t-statistic. Let the difference of the sample means be y overbar 1 - y overbar 2. Find the P-value. State the conclusion.
B. Find a 95% confidence interval using the pooled degrees of freedom.
C. A 95% confidence interval for the mean difference in ages of houses in the two neighborhoods was left parenthesis negative 6.53 comma 10.53 right parenthesis. Is this result different from the result of the pooled-t confidence interval? Explain why or why not.
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