The population of current statistics students has ages with mean and standard de

Question

The population of current statistics students has ages with mean and standard deviation sigma. Samples of statistics students are randomly selected so that there are exactly 50 students in each sample. For each sample, the mean age is computed. What does the central limit theorem tell us about the distribution of those mean ages? Because n > 30, the sampling distribution of the mean ages can be approximated by a normal 1) distribution with mean and standard deviation. Because n > 30, the sampling distribution of the mean ages can be approximated by a normal 2) distribution with mean mu_x and standard deviation sigma_x = sigma/Squareroot 50. Because n > 30, the sampling distribution of the mean ages is precisely a normal distribution with 3) mean mu_x and standard deviation sigma_x = sigma/Squareroot 50. 4) Because n > 30, the central limit theorem does not apply in this situation.

Explanation / Answer

We use t distribution as an approximation if the sample size is less than 30, but according to statistics if the sample size is greater than 30 we use normal distribution as an approximation.

Also the population mean is approximated by a sample mean(we do have confidence intervals). Also the sample standard deviation is population stadard deviation divided by square root of sample size.

hence we have 2nd option correct here

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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