Two Sample Hypothesis Testing and ANOVA The Department of Urban Development (HUD

Question

Two Sample Hypothesis Testing and ANOVA The Department of Urban Development (HUD) would like to test the hypothesis that the average size of a newly constructed house last year is different from the size of a house built in 2000. The following table summarizes the sample statistics for house sizes (in square feet) for both years 2000 Last Year 2460 18 260 Sample Mean Sample Size 2290 18 Sample Std. Dev. 250 The pooled variance of this data is 65.050 1. If Population 1 is defined as houses built in 2000, and Population 2 is defined as houses built last year the correct hypothesis for this hypothesis test is 2. If Population 1 is defined as houses built in 2000, and Population 2 is defined as houses built last year, the degrees of freedom for this hypothesis test is A. 22 B. 26 C. 34 D. 36 3. Given = .05 the critical value for this hypothesis test is A. 1.691 B. 1.773 C. 2.060 D. 2.460 4. Given a confidence level of 90%; Should you reject or accept the null hypothesis?

Explanation / Answer

1) Option-D is the correct answer.

2) degrees of freedom = 18 + 18 - 2 = 34

Option-C is the correct answer.

3) critical value at 0.05 significance level t0.975, 34 = 2.032

4) The test statistic is

t = (x1 - x2)/sqrt (sp2/n1 + sp2/n2)

= (2290 - 2460)/sqrt(65.05/18 + 65.05/18)

= -63.23

Since the critical value is greater than the test statistic value 2.032 so the null hypothesis is not rejected.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.