Problem Statement In lecture we saw a strategy for constructing 95% confidence intervals for the mean...
Procedures for constructing a confidence interval for a sample mean are given in section 7-2 on page 319. Example 2 worked on pages 320 and 321 can guide us. In my homework problem 40, the scenario is data on the salaries of 61 players on a football team. We are given that we are interested in the 95% confidence level and the population standard deviation is 3723 thousand dollars. From section 7-2, we know that to be able to use...
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...
If we want to provide a 90% confidence interval for the mean of a population and the population standard deviation is known, the correct Z value is 0.95 1.96 0.485 1.645
true or false. if a 95% confidence interval for a population mean is 1.7<u<2.3, then the probability is 0.95 that the mean is between 1.7 and 2.3.
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....
===================================================================================== Problem 3. (2pts) The graph below shows the results from constructing 100 different confidence intervals of the same confidence level, each based on a different sample of size from a population in which the population mean is u = 20. Each vertical line in the graph spans the length of a different confidence interval. 100 40 60 Sample Number Based on these results, what is the most likely value of the confidence level used in constructing these confidence intervals?
In class we had 41 95% confidence intervals that we believe to be calculated correctly. The confidence intervals were collected by taking a sample of 60 data points from the population data. 41 of the confidence intervals appear to be calculated correctly. Of these 4 of them do not have the population mean inside the confidence interval. Based on a 95% confidence, we expected 2 to not contain the population mean. Did this happen by chance alone? To find your...
In class we had 41 95% confidence intervals that we believe to be calculated correctly. The confidence intervals were collected by taking a sample of 60 data points from the population data. 41 of the confidence intervals appear to be calculated correctly. Of these 4 of them do not have the population mean inside the confidence interval. Based on a 95% confidence, we expected 2 to not contain the population mean. Did this happen by chance alone? To find your...
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%....
When constructing a 95% confidence interval for a population mean μ, what is the most important condition that must be approximately satisfied so that in 95% of repeated samples the calculated intervals will cover the unknown value μ? A. The population standard deviation must always be small. B. The sample size n must be at least 100 (so that the Central Limit Theorem applies). C. The population from which the sample is drawn must be at least 10 times the...