A sampling distribution is the probability distribution for which one of the fol

Question

A sampling distribution is the probability distribution for which one of the following: a. A sample b. A statistic c. A population d. A parameter The sample average is a random variable and a. is a single number and as a result cannot have a distribution. b. has a probability distribution called its sampling distribution c. has a probability distribution called the standard normal distribution. d. has a probability distribution called the mean distribution The annual salary of a registered nurse working in the U.S. follows an approximately normal distribution with a mean of exist66,000 and a standard deviation of exist11,000. The population distribution is unknown. Let x denote the average annual salary for a random sample of 10 registered nurses working in the U.S. Which of the following statement is correct? a. The sampling distribution of x will not necessarily be approximately normally distributed because of the small sample size. b. The sampling distribution of x will not necessarily be approximately normally distributed because of the large population standard deviation. c. The sampling distribution of x will be approximately normally distributed because the sample size is large enough. d. The sampling distribution of x will be approximately normally distributed because the sample is selected from a population that is approximately normally distributed. The Central Limit Theorem states that the sampling distribution of the sample mean is approximately normal under certain conditions. Which of the following is a necessary condition for the Central Limit Theorem to be used? a. The sample size must be large b. The population size must be large c. The population from which we are sampling must be normally distributed. d. The population from which we are sampling must not be normally distributed. The standard deviation of a sampling distribution: a. applies only to population data. b. can be larger than the standard deviation for the population. c. is the sum of squares. d. is the standard error. e. is always greater than 1.

Explanation / Answer

13 (b) by definition of sampling distribution is the probability distribution of statistics

14 (b) by definition sample average have a probability distribution is known as sampling distribution.

15 (d) sampling distribution is approximately normal distribution because sample is taken from population which is fallow normal distribution.

16 (a) CLT is exist for condition sample size tend to infinite.

17 (d) standard deviation of sampling distribution is known as standard error.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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