Question

When using the t distribution to calculate a confidence interval

When using the t distribution to calculate a confidence interval (because the population standard deviation is not known), we assume that the population of interest is normal or approximately normal.

  • True

  • False

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

Add a comment
Know the answer?
Add Answer to:
When using the t distribution to calculate a confidence interval
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • Use the standard normal distribution or the t distribution to construct a 9 % confidence interval...

    Use the standard normal distribution or the t distribution to construct a 9 % confidence interval for the population mean Justify your decision if neither distribution can be used, explain why Interpret the results ln a random sample of 17 mortgage institutions, the mean interest rate was 3.69% and the standard deviation was 36% Assume the iterest rates are normally distributed Which distribution should be used to construct the confidence interval? ○ A. Use a t-distribution because it is a...

  • Use the standard normal distribution or the​ t-distribution to construct a 90​% confidence interval for the...

    Use the standard normal distribution or the​ t-distribution to construct a 90​% confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results. In a random sample of 13 ​people, the mean length of stay at a hospital was 6.9 days. Assume the population standard deviation is 2.1 days and the lengths of stay are normally distributed. Which distribution should be used to construct the confidence​ interval? A. Use a normal...

  • Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the...

    Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.27. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 2.9 8.4 7.2 4.3 6.8 2.7 7.2 4.8...

  • Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the...

    Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.21. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 3.2 6.8 6.1 3.6 6.3 7.1 6.4 5.5...

  • Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the...

    Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...

  • Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the...

    Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can In a recent season, the population standard deviation of the yards per carry for all running backs was 1.21. The yards per carry of 25 randomly selected running backs 2.8 be used, explain why. Interpret the results are shown below. Assume the yards per carry are normally distributed 2.7 3.7 4.7 7.1 3.7 5.9 2.5...

  • Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the...

    Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 122. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed 22 2.9 3.9 4.6 5.5 5.5 62 75...

  • 6.2.36-1 Question Help Use the standard normal distribution or the t-distribution to construct a 95% confidence...

    6.2.36-1 Question Help Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 15 mortgage institutions, the mean interest rate was 3.42% and the standard deviation was 0.44%. Assume the interest rates are normally distributed Which distribution should be used to construct the confidence interval? O O O O O A. Use a...

  • We use the t distribution to construct a confidence interval for the population mean when the...

    We use the t distribution to construct a confidence interval for the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find tα/2,df for the following scenarios. (You may find it useful to reference the t table. Round your answers to 3 decimal places.) tα/2,df a. A 90% confidence level and a sample of 25 observations. b. A 95% confidence level and a sample of 25 observations.

  • Construct the indicated confidence interval for the population mean μ using the t-distribution

    X6.2.9-TConstruct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed c = 0.90, x̅ = 12.9, s = 4.0, n = 9 The 90% confidence interval using a t-distribution is 6.2.17-T In a random sample of 26 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ...

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