HomeworkLib
Question

A random sample of size 16 is drawn from a nor-mal distribution havingσ=6.0 for the purpose...

A random sample of size 16 is drawn from a nor-mal distribution havingσ=6.0 for the purpose of test-ing H0:μ=30 versus H1:μ=30. The experimenter chooses to define the critical region C to be the set of sample means lying in the interval (29.9, 30.1). What level of significance does the test have? Why is (29.9, 30.1)a poor choice for the critical region? What range of y values should comprise C, assuming the same α is to be used?

carefully answer each question and I have no idea why chegg answer get α is 0.056, becasue this is two side test after 1-P(-1/15<Z<1/15) it should be 0.973 to be the significant level. we are looking for two tail and so we minus the confindence interval to get alpha

**Warning: dont copy other answers from chegg becasue they are wrong, if you do that will result thumb down immediately**

Please follow the comment and you should have three parts

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

ANSWER:

0 0
Add a comment
Know the answer?
Add Answer to:
A random sample of size 16 is drawn from a nor-mal distribution havingσ=6.0 for the purpose...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 3. A random sample of size 16 is drawn from a normal distribution with o =...

    3. A random sample of size 16 is drawn from a normal distribution with o = 9.0 for the purpose of testing: Ho : = 30 versus HP:ll # 30. The experimenter chooses to define the critical region C to be the set of sample means lying in the interval (29.9, 30.1). (3.1) What level of significance does the test have? (3.2) Improve the test by changing the definition of C, assuming the same a is to be used.

  • A random sample of size 16 is drawn from a normal distribution with σ=9.0 for the...

    A random sample of size 16 is drawn from a normal distribution with σ=9.0 for the purpose of testing: H0:μ=30 versus H1:μ≠30. The experimenter chooses to define the critical region C to be the set of samples means lying in the interval (23.9,30.1). What level of significance does the test have?

  • A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...

    A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left.    No, the x distribution...

  • A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...

    A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left.      No, the...

  • 1. Ho: μ 100 versus H1: μ # 100, a simple random sample of size n...

    1. Ho: μ 100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If 104.8 and s-9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw ar-distribution that depicts the critical region. (d) Will the researcher reject the null hypothesis? Why? Then state the...

  • Suppose a random sample of 17 is selected from a normal distribution and the sample mean...

    Suppose a random sample of 17 is selected from a normal distribution and the sample mean x-bar = 102.5 and the sample standard deviation Sx = 4.3. Is this a z distribution or a t distribution? A. t distribution with 17 degrees of freedom B. t distribution with 16 degrees of freedom C. z distribution D. Cannot be determined Part b construct a 96% confidence interval for the population mean A. 100.17 to 104.83 B. 100.36 to 104.64 C. 100.00...

  • A simple random sample of size n is drawn from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...

  • 1. Ho: μ-100 versus H1: μ # 100, a simple random sample of size n 23...

    1. Ho: μ-100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If = 104.8 and s = 9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw a r-distribution that depicts the critical region. (e) Construct a 99% confidence interval to test the...

  • A simple random sample of size n is drawn from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbarx​, is found to be 107​,and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95​% confidence interval about μ if the sample​ size, n, is 25. ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 13. ​(c) Construct an 80​% confidence interval about μ if the sample​ size, n, is...

  • A simple random sample of size n is drawn from a population that is normally distributed

    A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...

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