We know that,
Keeping the same level of confidence, As sample size increases then margin of error decreases and viceversa because margin of error is inversely proportional to the squareroot of sample size.
Hence,
Option c. is the correct.
Please rate(thumbs up) the answer if you are satisfied with it.
Thank you.
(6) 1.729 (a) 4301 7. How would the margin of error of a confidence interval for...
(C) If the confidence levels were 99.5% rather than 99.9% would
the margin of error be larger or smaller than the result in part
(a) ? Explain.
The margin of error would be ( larger or smaller ) , since ( an
increase or a decrease ) in the confidence level will ( decrease or
increase ) the critical value z a/2.
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their...
For confidence interval computations, if the sample size is increased, we expect the margin of error to: a. Increase b. Decrease c. stay the same The company you work for produces automotive parts for GM. A certain machine that makes a cutout in a piece of steel averages a cut size of 203.2085 mm with a standard deviation of 0.2083 mm. A random sample of 66 is taken from the population. What is the distribution of the sample mean? Approximately...
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
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 92, with a sample size of (a) 400,(b) 1800. What is the effect of the sample size? 2. The margin of error for a 95% confidence interval with a sample size of 400 is (Round to the nearest tenth as needed.) b. The margin of error for a 90% confidence interval with a sample size of 1600 is (Round...
To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin of Error, E, for means is: E = 1.96*s/sqrt(n), where s is the sample standard deviation, n is the sample size. The “sqrt” stands for square root. The Margin of Error, E, for proportions is: E = 1.96*sqrt[p*(1-p)/n], where s is the sample standard deviation, n is the sample size, and p is the proportion. Use the Confidence Interval formula above, and the correct...
Which of the following would produce a confidence interval with a larger margin of error than the 95% confidence interval with a sample size of 50? A. using a sample size of 100 and fix the confidence level. B. using a confidence level of 90% and fix the sample size. C. using a confidence level of 99% and fix the sample size. D. using a sample size of 500 and fix the confidence level. E. None of the above.
If you decide you want a smaller margin of error for a confidence interval, should you increase or decrease the sample size? A) Increase B) Decrease C) Do not need to change
When we decrease the sample size, what happens to the margin of error in the confidence interval? A. Become larger B. Become smaller C. Stay the same D. It depends
Oubled to 10.4 and the level of confidence 0J 0011at would be the new margin of error and confidence interval? Margin of error, E o 0.90-1.645 11645X10.4/T0.7 Did the confidence interval increase or decrease and why? Confidence Interval: 2089< u< 2H.32 24.10 4. Definition of Confidence Intervals (Section 6.1) Circle your answer, True of False. A 99% confidence interval means that there is a 99% probability that the population mean, u, is in the interval. True / False A 90%...
6.12 Margin of error and the confidence interval. A study of stress on the campus of your university reported a mean stress level of 78 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 5 for 95% confidence. The study was based on a random sample of 64 undergraduates more e. The study w (a) Give the 95% confidence interval. (b) If you wanted 99% confidence for the same study,...