A random sample of n = 49 observations is drawn from a population with a mean...

 

Transcribed Image Text:

A random sample of n = 49 observations is drawn from a population with a mean equal to 23 and a standard deviation equal to 21. Complete parts a through g below. a. Give the mean and standard deviation of the (repeated) sampling distribution X. P 0-= (Type integers or decimals.) b. Describe the shape of the sampling distribution of x. Does this answer depend on the sample size? Choose the correct answer below. OA. The shape is that of a normal distribution and does not depend on the sample size. B. The shape is that of a uniform distribution and depends on the sample size. O C. The shape is that of a uniform distribution and does not depend on the sample size. D. The shape is that of a normal distribution and depends on the sample size. c. Calculate the standard normal z-score corresponding to a value of x = 21.5. Z= (Type an integer or a decimal.) d. Calculate the standard normal z-score corresponding to a value of x = 27.5. Z= (Type an integer or a decimal.) e. Find P(x<21.5). P(x<21.5) = (Round to four decimal places as needed.) f. Find P(x>27.5). P(x>27.5) = (Round to four decimal places as needed.) g. Find P(21.5<x<27.5). P(21.5<x<27.5) = (Round to four decimal places as needed.) A random sample of n = 49 observations is drawn from a population with a mean equal to 23 and a standard deviation equal to 21. Complete parts a through g below. a. Give the mean and standard deviation of the (repeated) sampling distribution X. P 0-= (Type integers or decimals.) b. Describe the shape of the sampling distribution of x. Does this answer depend on the sample size? Choose the correct answer below. OA. The shape is that of a normal distribution and does not depend on the sample size. B. The shape is that of a uniform distribution and depends on the sample size. O C. The shape is that of a uniform distribution and does not depend on the sample size. D. The shape is that of a normal distribution and depends on the sample size. c. Calculate the standard normal z-score corresponding to a value of x = 21.5. Z= (Type an integer or a decimal.) d. Calculate the standard normal z-score corresponding to a value of x = 27.5. Z= (Type an integer or a decimal.) e. Find P(x<21.5). P(x<21.5) = (Round to four decimal places as needed.) f. Find P(x>27.5). P(x>27.5) = (Round to four decimal places as needed.) g. Find P(21.5<x<27.5). P(21.5<x<27.5) = (Round to four decimal places as needed.)

Answer rating: 100% (QA)

Solution a x 23 O0n2149 3 ... View the full answer