1) Raising confidence level increase critical values which increase margin of error, and hence width increases.
2) Changing the sample size has no effect on the width of the confidence interval.
3) The width of the confidence interval decreases as the sample size increases. The width increases as the standard deviation increases. The width increases as the confidence level increases (0.5 towards 0.99999 - stronger). The width increases as the significance level decreases (0.5 towards 0.00000...01 - stronger).
4) If we constructed many, many confidence intervals from independent samples of this size, 99% of the time the interval we constructed would capture the true mean.
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1. What effect does raising the level of confidence have on the width of the confidence...
Increasing the confidence level of your confidence interval will have what effect on the width of the interval? It is impossible to tell. The width will decrease. The width will remain the same. The width will increase.
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...
Explain what "95% confidence" means in a 95% confidence interval. What does "95% confidence" mean in a 95% confidence interval? A. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 95 of the intervals to include the parameter and 5 to not include the parameter. B. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 95%....
Answer and explain. If all other quantities remain the same, what will happen to the width of a confidence interval if there is an increase in the:confidence level;sample size; andstandard deviation
True or False? The higher the confidence level, the narrower is the confidence interval for the mean. Select an answer The most efficient point estimator for the population mean ù is the sample median . Select an answer • To reduce the width of a confidence interval, we can increase the sample size n. Select an answer • As long as the population is normal with variance o’, the statistic (n-1) S2 has a Chi-squared 02 distribution with n degrees...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
1. A random sample of size n is drawn from a population that is normally distributed with a standard deviation of 8. The sample mean is found to be 50. 1.a) Construct a 98% confidence interval (CI) for the population mean uif the sample size is 16. The critical value used is The (margin of) error for the 98% confidence interval (C.I.) is The resulting Cl is 1.b) Construct a 95% confidence interval for the population mean u if the...
please show how its done on TI-64 1. SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? 3. If n=31, ¯xx¯(x-bar)=36, and s=6, construct a confidence interval at a 98% confidence level. Assume the...
1. A C level confidence interval is described as what? (3 points) Oan interval computed from a data sample by a method that has the probability C of producing an interval containing the true value of the parameter any interval within the margin of error O an interval with a margin of error C that is also correct C% of the time Oany interval that follows the 68-95-99.7 rules Oan interval computed from a data sample that guarantees that the...
(1 point) Use the given data to find the 95% confidence interval estimate of the population mean p. Assume that the population has a normal distribution IQ scores of professional athletes: Sample size n = 30 Mean 2 = 104 Standard deviation s = 10