MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Using a t-table or a t-score calculator, find the value of t for sample size (n) of 25 to estimate 95% confidence interval for the population mean.
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- Why do we use a t-distribution to compute confidence intervals for population means?arrow_forwardDuring the nutrition research, the amount of consumed kilocalories per day was measured for 18 people - 10 women and 8 men. Results are as follows: Women: 2026, 1600, 1700, 1950, 1922, 1786, 1712, 1777, 2006, 1832; Men: 2170, 2557, 2384, 2427, 2334, 2228, 2161, 2459. Calculate a 90% confidence interval on the mean for women and men separately. Assume distribution to be normal. Round your answers to the nearest integer (e.g. 9876). Women: i Men: iarrow_forwardDetermine the sample size needed to estimate a population with a mean of 10 units given that the population standard deviation is 50; use a confidence level of 90%.arrow_forward
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- The mean score on the math portion of the ACT for the year 2000 is μ = 20.7. A sample of 20 students in a local school district had a mean of 22.95. Using the sample, a 95% confidence interval estimate for the mean is (20.76, 25.14). State the point estimate for the mean ACT score for students. Based on this sample information , do you believe that the local students have a mean different from the general population? Why? 22.95 is in the center of the interval. The means are definitely not different. 22.95 is just outside the 95% confidence interval. Can't say the means are really different. 22.95 is not equal to 20.7. The means are definitely different. 20.7 is just outside the 95% confidence interval. Can't say the means are really different.arrow_forwardIf you want to construct a 90% confident interval for a population mean such that it is within a quarter (population) standard deviation from the sample mean, then what is the minimum sample size required?arrow_forwardApply the t-interval procedure to find a 95% confidence interval for the mean arterial blood pressure of 8 children sampled if x=85.99 mm Hg and s=8.08 mm Hgarrow_forward
- Using the t-table, find the critical value for a left-tailed test with a significance level of 10% and a sample size of 25.arrow_forwardDetermine the margin of error in estimating the population mean, μ. Based on a sample of size 44, a 95% confidence interval for the mean score of all students, μ, on an aptitude test is from 67 to 72. Find the margin of error.arrow_forwardThe accompanying data represent the running times of files produced by two motion-picture companies. Assume that the running-time differences are approximately normally distributed. Construct a 90% confidence interval for 90% confidence interval for μ - μ were created, should it be assumed that o² = = If a Company | 106 96 105 Time (minutes) 91 99 II 101 78 123 89 171 89 120 Click here to view page 1 of the table of critical values of the F-distribution, for alpha = 0.05. Click here to view page 2 of the table of critical values of the F-distribution, for alpha = 0.05. The confidence interval is < (Round to three decimal places as needed.)arrow_forward
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