MATLAB: An Introduction with Applications
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Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You intend to estimate a population mean with a confidence interval. You believe the population to have a
Find the critical value that corresponds to a confidence level of 99.9%.
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- You have a random sample of 30 mice, the mean of the number of pounds that they were eating was 5 pounds per week. The population standard deviation is 1.3 pounds. Find 90% confidence interval for both the Z distribution and T distribution. Thank you!arrow_forwardPrivate Four-Year Colleges From the data in CollegeScores4yr we know that about 62% of four-year colleges in the US are private institutions. Suppose that we select samples of n = 75 schools at a time from the population of all four-year colleges and find the proportion of private schools in each sample. (a) Consider the distribution of these sample proportions when n = 75 and p = 0.62. What is its form? Center = i Standard error = (round to three decimal places) (b) What proportion of these samples will have less than 50% private schools? Round to three decimal places. iarrow_forwardYou intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 41.Find the critical value that corresponds to a confidence level of 98%.arrow_forward
- n= 1655 (nubers of tries), x=176 (number of success tries), 98% confidence. Find the confidence interval estimate of the population proportion p.arrow_forwardConstruct a confidence interval for the population mean. Assume that the population has a normal distribution. n= 30, x bar = 84.6, s=10.5, 90% confidence.arrow_forwardWhat is the multiplier for an interval that estimates the proportion with a. 88% confidence? b. 98% confidence?arrow_forward
- A confidence interval for a population proportion p is 0.635 to 0.700. What is the margin of error?arrow_forwardUse the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 90% confidence interval for p given that p = 0.9 and n 130. Round your answer for the point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places. Point estimate = Margin of error = ± i The 90% confidence interval is i to iarrow_forwardYou intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 43.Find the critical value that corresponds to a confidence level of 90%arrow_forward
- Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 99% confidence interval for p given that p = 0.33 and n = 550. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.arrow_forwardFind the critical value, for a 90% confidence when the sample size is 22arrow_forwardTina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.arrow_forward
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