Use the t-distribution and the given sample results to complete the test of the

Question

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : 1=2 vs Ha : 12 using the sample results x¯1=15.3, s1=11.6 with n1=100 and x¯2=18.4, s2=14.3 with n2=80.

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : 1=2 vs Ha : 12 using the sample results x¯1=15.3, s1=11.6 with n1=100 and x¯2=18.4, s2=14.3 with n2=80.

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 ? 0
(with pooled variances)

Hypothesis test results:

Hence,

Test statistic = -1.61

p - Value = 0.110

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -3.1 1.9302637 178 -1.6059982 0.11

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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