Question

Indicate whether the following statement is true or false. The sampling distribution of the sample mean...

Indicate whether the following statement is true or false.

The sampling distribution of the sample mean (x-bar) will at least approximately be normally distributed either if X is normally distributed or if the sample size (n) is larger than 30.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #2

Solution:

Given sentence is

TRUE

Explanation :

Let X be a r.v.

If we take repeated samples form this population , then we obtain various values of sample means.This is sampling distribution of .

If X follows normal distribution , then the sampling distribution of is approximately normal(whatever the sample size)

If distribution of X is not normal, and sample size n > 30 then also the sampling distribution of is approximately normal.

So , answer is

True

answered by: anonymous
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Indicate whether the following statement is true or false. The sampling distribution of the sample mean...
Indicate whether the following statement is true or false. The sampling distribution of the sample mean (top enclose X) will at least approximately be normally distributed either if X is normally distributed or if the sample size (n) is larger than 30.
True or False? The sampling distribution of the sample mean of a non-normally distributed population will...
True or False? The sampling distribution of the sample mean of a non-normally distributed population will also be normally distributed as long as the sample size is greater than 10. The sampling distribution of the sample mean of a normally distributed population will not be normally distributed if sample size is less than 30.
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 statement about the sampling distribution of proportion is true? Select one: a....
Which of the following statement about the sampling distribution of proportion is true? Select one: a. Its mean equals to the population proportion. b. Its standard error equals to the population standard deviation. c. It is approximately normally distributed if n ≥ 30. d. It is approximately normally distributed if the population is normally distributed.
In each case, determine if the distribution of the sample mean (x-bar) is NORMALLY DISTRIBUTED, AT...
In each case, determine if the distribution of the sample mean (x-bar) is NORMALLY DISTRIBUTED, AT LEAST APPROXIMATELY NORMALLY DISTRIBUTED, or CANNOT BE DETERMINED. The population is known to be normally distributed, the sample size is n = 56. a) can not be determined b) at least approximately distributed c)normally distributed. The population distribution is not known, sample size is n = 100. a) can not be determined b) at least approximately distributed c)normally distributed. The population is known to...
For each of the following statements, identify whether the statement is true or false, and explain...
For each of the following statements, identify whether the statement is true or false, and explain why. Please limit each response to no more than 2 sentences. f) A weighted mean is preferred over an unweighted mean (i.e. a regular sample mean) when each observation has its own unique weight. g) A z-score is a percentile. h) Assuming the population is normally distributed, the standard deviation of the sampling distribution of the sample mean will always be less than or...
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution...
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution is appropriate whenever the sample size is small. 2. The sampling distribution of X (X-bar) is not always a normal distribution. 3. The reason sample variance has a divisor of n-1 rather than n is that it makes the sample standard deviation an unbiased estimate of the population standard deviation. 4. The error term is the difference between the actual value of the dependent...
Indicate whether the following statement is true or false. In hypothesis testing, the p-value should always...
Indicate whether the following statement is true or false. In hypothesis testing, the p-value should always be larger than the selected level of significance. True False
Indicate whether the following statement is true or false. 1. When estimating a confidence interval for...
Indicate whether the following statement is true or false. 1. When estimating a confidence interval for the difference between the means of two independent populations, the pooled variance is the average of two sample variances, if the two sample sizes are equal. 2. Both the t-distribution and standard normal distribution have the same mean, but the t-distribution has a smaller standard deviation than the standard normal distribution. 3. The standard deviation of the distribution of   (i.e. standard error of the mean)...
Indicate whether the following statement is true or false. In hypothesis testing, the p-value should always...
Indicate whether the following statement is true or false. In hypothesis testing, the p-value should always be larger than the selected level of significance.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT