Question

Which of the following statements about the sampling distribution of the sample mean, ¯xx¯ , is...

Which of the following statements about the sampling distribution of the sample mean, ¯xx¯ , is the correct?

1The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.

2The distribution is normal regardless of the sample size, as long as the population distribution is normal.

3The distribution's mean is the same as the population mean.

4The distribution's standard deviation is smaller than the population standard deviation.

5All of the above statements are correct.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 2: Which of the following statements about the sampling distribution of means is not true?...
Question 2: Which of the following statements about the sampling distribution of means is not true? A. A sample distribution's mean will always equal the parent population distribution's mean B. The sampling distribution of means approximates the normal curve. C. The mean of a sampling distribution of means is equal to the population mean. D. The standard deviation of a sampling distribution of means is smaller than the standard deviation of the population.
Which of the following is true regarding the sampling distribution of the mean for a large...
Which of the following is true regarding the sampling distribution of the mean for a large sample size? Select one: a. It has the same shape, mean, and standard deviation as the population. b. It has the same shape and mean as the population, but has a smaller standard deviation. c. It has a normal distribution with the same mean as the population but with a smaller standard deviation. d. It has a normal distribution with the same mean and...
Which of the following is NOT true regarding the sampling distribution of the mean (Sample mean...
Which of the following is NOT true regarding the sampling distribution of the mean (Sample mean X-bar) for a large sample size (sample size is greater than 36)? A. It has the same mean as the population. B. It has a smaller standard deviation than the population standard deviation. C. Approximately it follows a normal distribution. D. It has the same distribution as the population.
Which of the following statements are true? I. The sampling distribution of ¯xx¯ has standard deviation...
Which of the following statements are true? I. The sampling distribution of ¯xx¯ has standard deviation σ√nσn even if the population is not normally distributed. II. The sampling distribution of ¯xx¯ is normal if the population has a normal distribution. III. When nn is large, the sampling distribution of ¯xx¯ is approximately normal even if the the population is not normally distributed. I and II I and III II and III I, II, and III None of the above gives...
Which of the following statements are true? I. The sampling distribution of ¯xx¯ has standard deviation...
Which of the following statements are true? I. The sampling distribution of ¯xx¯ has standard deviation σ√nσn even if the population is not normally distributed. II. The sampling distribution of ¯xx¯ is normal if the population has a normal distribution. III. When nn is large, the sampling distribution of ¯xx¯ is approximately normal even if the the population is not normally distributed. I and II I and III II and III I, II, and III None of the above gives...
Which of the following is true? The shape of the sampling distribution of sample proportion is...
Which of the following is true? The shape of the sampling distribution of sample proportion is always bell-shaped. As n increases, the mean of the sampling distribution of sample proportion gets closer to the population proportion. The shape of the sampling distribution of sample proportion becomes approximately normal as n gets large. The shape of the sampling distribution of sample proportion gets closer to the shape of the population distribution as n gets large.
Which of the following statements is not true for sampling distributions? a. A sampling distribution is...
Which of the following statements is not true for sampling distributions? a. A sampling distribution is necessary for making confidence statements about an unknown population parameter. b. A sampling distribution depends on the nature of the population being sampled. c. When sampling at random from a normal population, the sampling distribution for the sample average is a normal distribution. d. None of the above. AND TRUE or FALSE Assume a random sample of size n is from a normal population....
1) Which of the following statements is correct about the standard normal distribution and t distribution?...
1) Which of the following statements is correct about the standard normal distribution and t distribution? a) standard normal distribution is used to eliminate population mean, while t distribution is used to estimate population standard deviation b) t distribution is always centered at 0, while the center of a standard normal destruction depends on the sample mean c) none of the 3 answer choices d) standard normal distribution curve is higher than t distribution curve at the tails 2) If...
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is...
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. Which of the following statements is true with respect to the sampling distribution of the sample mean, ¯xx¯? According to the law of large numbers, if the sample size, n, increases, ¯xx¯ will tend to be closer to...
Which one of the following statements is true? A. The Central Limit Theorem states that the...
Which one of the following statements is true? A. The Central Limit Theorem states that the sampling distribution of the sample mean, y , is approximately Normal for large n only if the distribution of the population is normal. B. The Central Limit Theorem states that the sampling distribution of the sample mean, y , is approximately Normal for small n only if the distribution of the population is normal. C. The Central Limit Theorem states that the sampling distribution...