A random sample of size 36 is taken from a population with a mean of 50...

Question

Question

A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5. The sampling distribution of ________.

A. cannot be determined B. is skewed to the right C. is skewed to the left D. is approximately normal

math Statistics-And-Probability

Answer 1

Answer #1

Here as sample size is greater than 30 so the sampling distribution will be approximately normal option d by central limit theorem

Answer 2

Similar Homework Help Questions

A random sample of size 36 is to be taken from a population that is normally...

A random sample of size 36 is to be taken from a population that is normally distributed with mean 60 and standard deviation 18. The sample mean of the observations in our sample is to be computed. The sampling distribution of the sample mean is Select one: . a. normal with mean 36 and standard deviation 18. O b. normal with mean 60 and standard deviation 0.5. c. normal with mean 60 and standard deviation 3. d. normal with mean...
A random sample of size 36 is taken from a population with mean µ = 29...

A random sample of size 36 is taken from a population with mean µ = 29 and standard deviation σ = 5. What are the expected value and the standard deviation for the sampling distribution of the sample mean? (a) 12.425 and 0.83, respectively (b) 12.425 and 2.66, respectively (c) 29 and 0.83, respectively (d) 29 and 5, respectively
A random sample of size 36 is taken from a population with mean µ = 18...

A random sample of size 36 is taken from a population with mean µ = 18 and standard deviation σ = 5. What are the expected value and the standard deviation for the sampling distribution of the sample mean? Group of answer choices a. 1.425 and 2.66, respectively b. 18 and 5, respectively c. 1.425 and 0.83, respectively d. 18 and 0.83, respectively

A random sample of size 137 was taken from a population with a population mean 25...

A random sample of size 137 was taken from a population with a population mean 25 and a population standard deviation 5. Determine each of the following about the sampling distribution of the sample mean. Round your answer to at least 3 decimal places where appropriate. a) μx_= b) σx_= c) Can we conclude that the sampling distribution of the sample mean is approximately normal? YesNoClick for List
A random sample of size 36 is taken from a population with mean 50 and standard...

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5. Find P ( Picture < 48).
89 and a = 6. Suppose a simple random sample of size n = 36 is obtained from a population with (a) Describe the sa...

89 and a = 6. Suppose a simple random sample of size n = 36 is obtained from a population with (a) Describe the sampling distribution of x. (b) What is P (x >90.65) ? (c) What is P (xs 86.85) ? (d) What is P (87.9<x<90.9) ? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Choose the correct description of the shape of the...

A random sample of size 36 is taken from a population with μ = 17 and...

A random sample of size 36 is taken from a population with μ = 17 and σ = 6. What are the expected value and the standard deviation for the sampling distribution of the sample mean?
If we are considering a population that is approximately normal and we choose the sample size...

If we are considering a population that is approximately normal and we choose the sample size of n = 3, what is likely true about the shape of the sampling distribution of the sample mean? a)The shape of the sampling distribution of the sample mean is skewed left because the sample size is less than 30. b)The shape of the sampling distribution of the sample mean is skewed right because the sample size is less than 30. c)The shape of...
3 of 5 (0 complete) Suppose a simple random sample of size n = 36 is...

3 of 5 (0 complete) Suppose a simple random sample of size n = 36 is obtained from a population with p = 75 and o= 6. (a) Describe the sampling distribution of x. (b) What is P (x > 76,85) ? (c) What is P (572.7)? (d) What is P (74.45<x< 76.6) ? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Choose the correct...

A random sample of size 36 is taken from a population with mean 50 and standard...

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5. Find P( x¯x¯ < 51.5). The weight of a product is measured in pounds. A sample of 50 units is taken from a recent production. The sample yielded X¯¯¯X¯ = 75 lb, and we know that σ2 = 100 lb. Calculate a 99 percent confidence interval for μ.