Question

According to a study of political​ prisoners, the mean duration of imprisonment for 32 prisoners with...

According to a study of political​ prisoners, the mean duration of imprisonment for 32 prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was 31.8 months. Assuming that sigmaequals38 ​months, determine a 95​% confidence interval for the mean duration of​ imprisonment, mu​, of all political prisoners with chronic PTSD. Interpret your answer in words.

A 95% confidence interval for the population mean is from ____months to____months.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Since the population sd is known, we can z-distribution to calculate the confidence interval.

Now, from the z-table, z score for 95% confidence level is 1.96.

Hence,

CI=

= 31.8

= 31.8 13.166

=[18.634, 44.966]

So,

A 95% confidence interval for the population mean is from 18.634 months to 44.966 months.

Add a comment
Know the answer?
Add Answer to:
According to a study of political​ prisoners, the mean duration of imprisonment for 32 prisoners with...
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
  • According to a study of political​ prisoners, the mean duration of imprisonment for 30 prisoners with...

    According to a study of political​ prisoners, the mean duration of imprisonment for 30 prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was 32.6 months. Assuming that sigmaσequals=4545 ​months, determine a 95​% confidence interval for the mean duration of​imprisonment,μ​, of all political prisoners with chronic PTSD. Interpret your answer in words. confidence level interval for 95%

  • According to a study of political​ prisoners, the mean duration of imprisonment for 39 prisoners with...

    According to a study of political​ prisoners, the mean duration of imprisonment for 39 prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was 31.5 months. Assuming that σ=45 ​months, determine a 95​% confidence interval for the mean duration of​ imprisonment, μ​, of all political prisoners with chronic PTSD. Interpret your answer in words

  • U.2.1 According to a study of political prisoners, the mean duration of imprisonment for 38 prisoners...

    U.2.1 According to a study of political prisoners, the mean duration of imprisonment for 38 prisoners with chronic post-traumatic stress disorder (PTSD) was 32 3 months. Assuming that = 39 months, determine a 95% confidence interval for the mean duration of imprisonment of all political prisoners with chronic PTSD. Interpret your answer in words. Click here to view Page 1 of the table of areas under the standard normal curve Click here to view Page 2 of the table of...

  • According to a study of political prisoners, the mean duration of imprisonment for 39 prisoners with...

    According to a study of political prisoners, the mean duration of imprisonment for 39 prisoners with chronic post-traumatic stress disorder (PTSD) was 31.2 months Assuming that σ=44 months, determine a 95% confidence interval for the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD. Interpret your answer in words. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under...

  • A 95% confidence interval of 19.8 months to 47.4 months has been found for the mean...

    A 95% confidence interval of 19.8 months to 47.4 months has been found for the mean duration of imprisonment, u, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of​ error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 12 months and a 99% confidence level. (use standard deviation=38 months.) d) Find...

  • A 95 % confidence interval of 16.5 months to 50.5 months has been found for the...

    A 95 % confidence interval of 16.5 months to 50.5 months has been found for the mean duration of imprisonment, ?, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 13 months and a 99 %confidence level. (Use ? =45 months.) d....

  • Researchers randomly and independently selected 28 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 22 prisoners that were diagnosed with PTSD but had since recovered (remitte...

    Researchers randomly and independently selected 28 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 22 prisoners that were diagnosed with PTSD but had since recovered (remitted). The ages, in years, at arrest yielded the summary statistics shown in the table to the right. Use a TI-83/84 calculator to find a 95% confidence interval for the difference between the mean ages at arrest of prisoners with chronic PTSD and remitted PTSD. Chronic Remitted (a) Confidence interval: (b) Does the confidence...

  • Chronic Remitted X2 = 20.4 Preliminary analyses indicate that you can consider the assumptions for using...

    Chronic Remitted X2 = 20.4 Preliminary analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently selected 33 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 23 prisoners that were diagnosed with PTSD but had since recovered (remitted) x = 29.1 S = 5 S2 = 8 n = 33 = 23 n2 Obtain a 95% confidence interval for the difference, H1 - H2, between the mean ages at arrest for prisoners...

  • 1. A random sample of 50 calls initiated on cell car phones had a mean duration...

    1. A random sample of 50 calls initiated on cell car phones had a mean duration of 3.5 Assume the population SD 671.2 min. a) Find a 95% confidence interval for the population mean duration of telephone calls initiated on cell car phone and interpret your result ) Find a 90% confidence interval for the population mean duration of telephone calls itiated on cell car phone. Compare with the result in part a)

  • A. A random sample of 32 different juice drinks has a mean of 98 calories per...

    A. A random sample of 32 different juice drinks has a mean of 98 calories per serving and a standard deviation of 31.5 calories. Construct a 99% confidence interval of the population mean number of calories per serving, and interpret the 99% confidence interval in 1 sentence: B. A random sample of 50 standard hotel rooms in Philadelphia, PA, has a mean nightly cost of $189.99 and a standard deviation of $35.25. Construct a 95% confidence interval of the mean...

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
ADVERTISEMENT