If you want to increase the sample standard deviation then width of the confidence interval is increase.
Because formula of confidence interval is that
√N
Where, Y is the sample mean, s is the sample standard deviation, N is the sample size, /α/ is the desired significance level and t(α/2,N-1) is the upper critical value of the Students-t distribution with N-1 degrees of freedom.
Consider the formula for estimating a population mean using a confidence interval. If the sample standard...
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...
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...
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...
Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample size of n = 5. 1, 2, 3, 4, and 30 In the given data, replace the value 30 with 5 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general. Find a 95% confidence interval for the population mean, using the formula or...
Describe how the width of a 95% confidence interval for a mean changes as the sample size (n) increases, assuming the standard deviation remains the same. As the sample size increases, the width of a 95% confidence interval for a mean gets , assuming the standard deviation remains the same. Choices are larger, gets smaller, gets larger, stays the same
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...
Use the confidence level and sample data to find a confidence interval for estimating the population u. Round your answer to the same number of decimal places as the sample mean. 20) A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 20) 5.2 on a placement test. What is the 90% confidence interval for the mean score,, of all students taking the test? A) 27.8 <u <31. 2 B ) 28.2<u<30....
Use the confidence level and sample data to find a confidence interval for estimating the population. Round your answer to the same number of decimal places as the sample mean A random sample of 87 light bulbs had a mean life of 479 hours with a standard deviation of a = 30 hours. Construct a 90% confidence interval for the mean life, ja, of all light bulbs of this type O A 472 hr < < 486 he B. 474...
Use the confidence level and sample data to find a confidence interval for estimating the population . Round your rower to the same number of decimal place as the sample mean From packages received by a percel service, 41 are randomly selected. The sample has a mean weight of 11.6 pounds. The population standard deviation is a 24 pounds. What is the 96% confidence interval for the tree w packages received by the parol service? O A 1075*2125 OB. 10.95<<123...
Suppose we have an existing confidence interval for a population mean. If we increase the sample size by a factor of 100, what happens to the width of the confidence interval? a) It remains the same. b) It decreases by a factor of 100. c) It increases by a factor of 10. d) It decreases by a factor of 10.