# test teh hypothesis

Anonymous
timer Asked: Apr 8th, 2016

Question description

home / study / math / statistics and probability / questions and answers / a developer wants to know if the houses in two ...

# 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.

 Neighborhood 1 Neighborhood 2 47 53 45 35 68 41 56 50 60 44 54 59

(a) Test the null hypothesis at a=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 y1-y2 (round to three decimal places)

Find the P-value. (round to four decimal places as needed)

State the conclusion. Recall that a=0.05.

REJECT or FAIL to REJECT H0. There is SUFFICIENT or INSUFFICIENT evidence to reject the claim that the mean age of houses is the same in the two neighborhoods.

(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 (-3.05,,19.05) Is this result different than the result of the pooled t-confidence interval? Explain why or why not. Choose the correct answer below.

- Yes. Since the means are fairly close, the two methods will result in essentially the same confidence intervals and hypothesis tests.

- Yes. Since the standard deviations are fairly close, the two methods will result in essentially the same confidence intervals and hypothesis tests.

- No. Since the standard deviations are fairly close, the two methods will result in essentially the same confidence intervals and hypothesis tests.

- No. Since the means are fairly close, the two methods will result in essentially the same confidence intervals and hypothesis tests.

## Tutor Answer

(Top Tutor) Studypool Tutor
School: University of Virginia
Studypool has helped 1,244,100 students
flag Report DMCA

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors