Homework Answers
e) Following statement correctly describes a 95% confidence interval for a mean,
an interval constructed using a procedure such that 95% of intervals constructed this way will contain the population mean.
Answer: ii)
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which of the following correctly describes a 95% confidence interval for a mean? Circle the correct...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of...
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...
Explain what "95% confidence" means in a 95% confidence interval. What does "95% confidence" mean in...
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%....
Find the necessary confidence interval for a population mean μ for the following values. (Round your...
Find the necessary confidence interval for a population mean μ for the following values. (Round your answers to two decimal places.) α = 0.05, n = 83, x = 66.2, s2 = 2.38 to Interpret the interval that you have constructed. There is a 95% chance that an individual sample mean will fall within the interval.There is a 5% chance that an individual sample mean will fall within the interval. In repeated sampling, 95% of all intervals constructed in this manner...
Find a 90% confidence interval for a population mean μ for these values. (Round your answers...
Find a 90% confidence interval for a population mean μ for these values. (Round your answers to three decimal places.) (a) n = 105, x = 0.81, s2 = 0.089 (b) n = 90, x = 21.3, s2 = 3.53 (c) Interpret the intervals found in part (a) and part (b): A. There is a 10% chance that an individual sample proportion will fall within the interval. B. In repeated sampling, 90% of all intervals constructed in this manner will...
Which of the following is true about a 95% confidence interval, with a known sigma? a....
Which of the following is true about a 95% confidence interval, with a known sigma? a. The corresponding value for z is 1.65 b. 95% of similarly constructed intervals would contain the population mean. c. we can use either the t or z distribution, whichever we prefer d. All options are true
Which of the following statements about confidence intervals are true? I. A 95% confidence interval will...
Which of the following statements about confidence intervals are true? I. A 95% confidence interval will contain the true µ 95% of the time. II. If ?(|?̅ − µ| > 3) = 0.035. Then a value of µ that is 3 or less units away from ?̅ will be included in the 99% confidence interval. III. The point estimate ?̅ will be included in a 99% confidence interval.
4. Definition of Confidence Intervals (Section 6.1) Circle your answer, True of False. • A 99%...
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, M, is in the interval. True / False • A 90% confidence interval means that if a large number of samples are taken, 90% of these samples would contain the actual mean, M. True / False 5. A nurse at a local hospital is interested in estimating the birth weight of...
A statistician constructed a confidence interval for the mean μ of a population and the result...
A statistician constructed a confidence interval for the mean μ of a population and the result was the interval (25,30). Which of the following statements is/are true? There is a 0.9 probability μ is between 25 and 30. If 100 random samples of the same size are picked and a 90% confidence interval is calculated from each one, then μ will be in 90 of those 100 confidence intervals. If 90% confidence intervals are calculated from all possible samples of...
In class we had 41 95% confidence intervals that we believe to be calculated correctly. The...
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...
A 93 percent confidence interval for a population mean indicates that Choose one of the following:...
A 93 percent confidence interval for a population mean indicates that Choose one of the following: A) we are 93 percent confident that the interval will contain all possible sample means with the same sample size taken from the given population. B) we are 93 percent confident that the population mean will fall within the interval. C) none of the given responses is true. D) we are 93 percent confident that the population mean will be the same as the...
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, M, is in the interval. True / False • A 90% confidence interval means that if a large number of samples are taken, 90% of these samples would contain the actual mean, M. True / False 5. A nurse at a local hospital is interested in estimating the birth weight of...
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