Suppose that we want to estimate the mean score on a nationwide examination in f

Question

Suppose that we want to estimate the mean score on a nationwide examination in finance, and for this purpose we choose a random sample of exam score The sample we choose has a mean of 519 and a standard deviation of 74. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) could use either Z or unclear Sampling Scenario (1) The sample has size 14, and it is from a normally distributed population with unknown standard deviation (2) The sample has size 95, and it is from a non normally distributed population. (3) The sample has size 12, and it is from a normally distributed population with a known standard deviation of 78 (4) The sample has size 15, and it is from a population with a distribution about which we know (5) The sample has size 110, and it is from a non- normally distributed population with a known standard deviation of 78 Worked Example Ei

Explanation / Answer

1) here as sample size is less than 30 and distribution is normal --- t distribution

2)for sample size is grearte than 30 --- could use either Z or t

3) for distribution is normal and std deviation is known ----Z distribution

4) for sample size is less than 30 and disribution is unknown -----Unclear

5)for sample size is greater than 30 with known std deviaiton-------Z distribution

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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