Summary statisties are given for independent simple random samples from two popu

Question

Summary statisties are given for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide whether use of the pooled t-test and pooled t-interval procedure is reasonable. Explain your answer. 22) x1-5669, s1-712,n-37,x2-4802, s2-73.5, n2 -42 22) A) Reasonable: the sample means are close to being equal suggesting that the assumption of equal population means is reasonable. Also both sample sizes are large B) Not reasonable: the sample standard deviations suggest that the two population standard deviations differ C) Not reasonable: the sample means suggest that the two population means differ D) Reasonable: the sample standard deviations are close to being equal suggesting that the assumption of equal population standard deviations is reasonable. Also both sample sizes are large.

Explanation / Answer

Soln,

Given that samples 1 and 2 are 37 and 42 also given that standard deviation 1 and standard deviation 2 are 71.2 and 73.5 respectively.

Hence to use t test and t interval procedure is reasonable, because

D) The sample standard deviations are close to being equal suggesting that the assumption of equal population standard deviation is reasonable. Also both samples sizes are large.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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