Question

Which of the following correctly describes how the width of a confidence interval for a population...

Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known?

There is no change if just the sample size increases. The interval widens if the sample size stays the same and confidence level decreases. The interval narrows if the sample size increases and confidence level stays the same. The interval narrows if the sample size decreases and confidence level stays the same. The interval widens if the sample size increases and the confidence level stays the same.

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

Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known?

As the sample size increases, the margin of error decreases which intern narrows the width of the confidence interval for a population mean.

Add a comment
Know the answer?
Add Answer to:
Which of the following correctly describes how the width of a confidence interval for a population...
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
  • Which of the following does NOT correctly describe how the width of a confidence interval for...

    Which of the following does NOT correctly describe how the width of a confidence interval for a population mean changes when the population standard deviation is known? The interval changes if the sample size decreases. The interval changes if the sample size increases. The interval narrows if the sample size increases and confidence level stays the same. The interval widens if the sample size decreases and the confidence level stays the same. The interval widens if the sample size stays...

  • Please show the process 6. In developing an interval estimate for a population mean, the population...

    Please show the process 6. In developing an interval estimate for a population mean, the population standard deviation σ was assumed to be 10. The interval estimate was 50.92 2.14. Had ơ equaled 20, the interval estimate would be a. 60.92 t 2.14 b. 50.92 12.14 c. 101.84 4.28 d. 50.92t 4.28 7. If the confidence level is reduced, the confidence interval a. widens. b. remains the same. C. narrows. d. disappears. 8. The zal value for a 95% confidence...

  • Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean,...

    Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean, based on the following sample size of n-6. 1, 2, 3, 4, 5, and 19 Change the number 19 to 6 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval. Find a 90% confidence interval for the population mean, using the formula or calculator. [ ] SHS (Round to two...

  • Consider the usual confidence interval for the mean of a normal population with known variance. What...

    Consider the usual confidence interval for the mean of a normal population with known variance. What is the relationship between confidence and precision as measured by interval width? A. For a fixed sample size, decreasing the confidence level has no effect on the precision B. For a fixed sample size, decreasing the confidence level decreases the precision C. For a fixed sample size, decreasing the confidence level increases the precision D. None of the above

  • If you are constructing a confidence interval for a population mean, for the same confidence level,...

    If you are constructing a confidence interval for a population mean, for the same confidence level, the width of the confidence interval will __________ as the sample size increases. Decrease Increase Stay the same Depends on the sample size

  • QUESTION 6 Assume the population standard deviation o is known and the confidence level 1-a is...

    QUESTION 6 Assume the population standard deviation o is known and the confidence level 1-a is fixed. As the sample size increases, the margin of error a. increases b. decreases OC. stays the same d. None of the other answers are correct

  • Consider a z confidence interval for the population mean. If the confidence level decreases but everything...

    Consider a z confidence interval for the population mean. If the confidence level decreases but everything else stays the same then we can expect the size of the interval to: A test was conducted to determine if HO: Mu = 52.7 should be rejected in favor of Ha: Mu > 52.7 where mu refers to the population mean. A sample was selected and the resulting test statistic was found to be 2.15. What is the p-value for the sample statistic?...

  • Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a...

    Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....

  • QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin...

    QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin of error gets larger. As the sample size increases, the confidence interval gets wider. As the standard deviation increases, the margin of error gets smaller. As the sample mean increases, the margin of error gets larger. Which of the following is correct? As the sample size increases, the confidence level decreases. As the confidence level increases, the width of the confidence interval decreases. As...

  • Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be...

    Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...

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