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.
when n is increased by 100 factor then
it will be decreased by a factor of 10
Suppose we have an existing confidence interval for a population mean. If we increase the sample...
ect Question 3 0/20 pts 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? It remains the same. It decreases by a factor of 100. It increases by a factor of 10. It decreases by a factor of 10.
Suppose you take a random sample of 30 individuals from a large population. For this sample, the sample mean is 4.2 and sample variance is 49. You wish to estimate the unknown population mean µ. (a) Calculate a 90% confidence interval for µ. (b) Calculate a 95% confidence interval for µ. (c) Based on (a) and (b), comment on what happens to the width of a confidence interval (increase/decrease) when you increase your confidence level. (d) Suppose your sample size...
Suppose you wish to estimate the mean of a normal population using a 95% confidence interval, and you know from prior information that σ2 ≈ 1. a. To see the effect of the sample size on the width of the confidence interval, calculate the width of the confidence interval for n = 16, 25, 49, 100, and 400. b. Plot the width as a function of sample size n on graph paper. Connect the points by a smooth curve and...
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
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...
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use? Choose the correct answer below. A. 15 B. 16 C. 14 D. There is not enough information given to find out.
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
QUESTION 1 Suppose we have a sample size of 100 and calculate a confidence interval. What will happen to that interval if we then get a sample size of 200 (all else equal). It will become narrower It will become wider. It will remain the same, because the mean is not changing It will get closer to 1.96. QUESTION 1 Suppose we have a sample size of 100 and calculate a confidence interval. What will happen to that interval if...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of the following statements would be correct? A. We expect that 95% of the intervals so constructed would contain the true population mean. B. We are 95% sure that the true population mean lies either within the constructed interval or outside the constructed interval. C. Taking 100 samples of the same size, and constructing a new confidence interval from each sample, would yield five intervals...
10. Properties of a confidence interval Suppose the mean of a population is 22. A researcher (who does not know that p Then she constructs a 95% confidence interval of the population mean. 22) selects a random sample of size n from this population. The true population mean and the researcher's 95% confidence interval of the population mean are shown in the following graph. Use the graph to answer the questions that follow Sample Mean 95% Confidence interval of the...