Question

If a population is known to be normally distributed with mue =74 and sigma =9​, what...

If a population is known to be normally distributed with mue =74 and sigma =9​, what will be the characteristics of the sampling distribution for x overbar based on a random sample of size 9 selected from the​ population?

mu Subscript x over bar =    ​(Type an integer or a​ decimal.)

sigma Subscript x overbar = ​(Type an integer or a​ decimal.)

Describe the sampling distribution of the sample. Choose the correct answer below.

A. The sampling distribution is normally distributed because the population is normally distributed.

B. The sampling distribution is skewed right because the population is normally distributed and the sample size is less than 30.

C. The sampling distribution is skewed left because the population is normally distributed and the sample size is less than 30.

D. The sampling distribution is normally distributed by the Central Limit Theorem.

E. The sampling distribution cannot be described without actual data.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
If a population is known to be normally distributed with mue =74 and sigma =9​, what...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • If a population is known to be normally distributed with size 25 selected from the population?...

    If a population is known to be normally distributed with size 25 selected from the population? 89 and 15, what will be the characteristics of the sampling distribution for x based on a random sample of - 89 (Type an integer or a decimal.) - 3 (Type an integer or a decimal.) Describe the sampling distribution of the sample. Choose the correct answer below O O A. The sampling distribution is skewed right because the population is normally distributed and...

  • A simple random sample of size nequals64 is obtained from a population with muequals43 and sigmaequals8....

    A simple random sample of size nequals64 is obtained from a population with muequals43 and sigmaequals8. Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally​ distributed? Why? What is the sampling distribution of x overbar​? Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally​ distributed? Why? A. Yes because the Central Limit Theorem states that only for underlying populations that...

  • A simple random sample of size nequals 81 is obtained from a population with mu equals...

    A simple random sample of size nequals 81 is obtained from a population with mu equals 73 and sigma equals 9 . ?(a) Describe the sampling distribution of x overbar . ?(b) What is Upper P left parenthesis x overbar greater than 74.35 right parenthesis ?? ?(c) What is Upper P left parenthesis x overbar less than or equals 70.7 right parenthesis ?? ?(d) What is Upper P left parenthesis 72.3 less than x overbar less than 74.85 right parenthesis...

  • A simple random sample of size n=74 is obtained from a population with 82 and 8-6...

    A simple random sample of size n=74 is obtained from a population with 82 and 8-6 Does the population need to be normally distributed for the sampling distribution of to be approximately normally distributed? Why? What is the sampling distribution of i? Does the population need to be normally distributed for the sampling distribution of to be approximately normally dibuted? Why? O A. No because the Central Limit Theorem states that only if the shape of the underlying population is...

  • A simple random sample of size n=74 is obtained from a population with u=67 and 5...

    A simple random sample of size n=74 is obtained from a population with u=67 and 5 = 6. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations...

  • The heights of fully grown trees of a specific species are normally​ distributed, with a mean...

    The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 50.5 feet and a standard deviation of 6.00 feet. Random samples of size 17 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is mu Subscript x overbarequals nothing. The standard error of the sampling distribution is...

  • A simple random sample of size n=64 is obtained from a population that is skewed right...

    A simple random sample of size n=64 is obtained from a population that is skewed right with μ=81 and σ=24. ​(a) Describe the sampling distribution of x overbarx. ​(b) What is Upper P left parenthesis x overbar greater than 84.15 right parenthesisP x>84.15​? ​(c) What is Upper P left parenthesis x overbar less than or equals 73.65 right parenthesisP x≤73.65​? ​(d) What is Upper P left parenthesis 78.6 less than x overbar less than 87.15 right parenthesisP 78.6<x<87.15​? ​(a) Choose...

  • Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 142 daysμ=142 days and standard deviation sigma equals 9 daysσ=9 days. Complete pa...

    Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 142 daysμ=142 days and standard deviation sigma equals 9 daysσ=9 days. Complete parts​ (a) through​ (f) below. ​(a) What is the probability that a randomly selected pregnancy lasts less than 139139 ​days?The probability that a randomly selected pregnancy lasts less than 139139 days is approximately 0.36940.3694. ​(Round to four decimal places as​ needed.) Interpret this probability. Select the correct choice below and...

  • Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer...

    Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100. 1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks) 2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2? 3. What...

  • The heights of fully grown trees of a specific species are normally​ distributed, with a mean...

    The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 76.5 ft and a standard deviation of 5.00 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is mu Subscript x over bar equals nothing. The standard error of the sampling...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT