Consider the following. (Give your answers correct to four decimal places.)(a) Determine the level of confidence given the confidence coefficient z(a/2) for z(a/2) = 1.63..

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Answered: Consider the following. (Give your…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
Find the level of confidence assigned to an interval estimate of the mean formed using the following intervals. (Round your answers to four decimal places.) (d) x − 2.53·o x to x + 2.53·o x
es A sample of 12 fossil skeletons of an extinct species of bird has been collected. The mean length of the skulls in this sample is 5.29 cm and the standard deviation of the sample is 0.21 cm. Assuming that such measurements are normally distributed, find a 90% confidence interval for the population mean length of the skulls of this species of bird. You may want to use one of these: qt (p-0.10, df-11, lower. tail-FALSE)=1.36343 qt(p-0.05, df-11, lower.tail-FALSE) =1.795885 qnorm(0.10, mean-0, sd-1, lower.tail-FALSE)=1.281552 qnorm(0.05, mean-0, sd-1, lower.tail=FALSE)=1.644854 O (4.945, 5.635) O (4.913, 5.667) O (5.021, 5.559) O (5.181, 5.399)
Determine the 95% confidence interval estimate for the population mean of a normal distribution given n= in 144, o = 128, and x= 1,100, The 95% confidence interval for the population mean is from to. (Round to two decimal places as needed. Use ascending order.)
Using R Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a). Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b). Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c). Repeat this for samples of size n=50.1(d). Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…
(1 point) A random sample of 70 observations produced a mean of a 39.5 from a population with a normal distribution and a standard deviation o = 2.14. (a) Find a 95% confidence interval for u (b) Find a 99% confidence interval for (c) Find a 90% confidence interval for
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 11.8 6.3 8.1 6.5 7.9 6.8 7.4 7.3 7.2 9.7 6.8 7.7 9.0 7.8 7.0 5.9 9.7 10.7 8.0 11.6 7.7 8.7 6.3 8.7 7.3 11.3 7.0 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex, = 220.2.] (Round your answer to three decimal places.) MPa State which estimator you used. Os Ox O x Os/x O p (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. MPa State which estimator you used. Ox Os/x Os O p Ox (c) Calculate a point estimate of the population standard deviation o. [Hint: Ex² = 1868.08.] (Round your answer to three decimal places.) MPa Interpret this point estimate. O This estimate describes the bias of the data. O This estimate describes the center of the data. O This estimate describes the spread of the data. O This estimate describes the…
Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:
Construct a 95% confidence interval to estimate the population mean using the data below. x=38 s=11 n=39 With 95% confidence, when n=39 the population mean is between a lower limit of and an upper limit of (Round to two decimal places as needed.)
Use the sample information x¯x¯ = 38, σ = 4, n = 11 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from ? to ? (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from ? to ? (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from ? to ? (d) Describe how the intervals change as you increase the confidence level. multiple choice The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.
1. You are interested in the effect of a new learning technique. The performance score on the test before applying the new learning technique is 50 (u=50), the standard deviation is 4 (o=4). You obtained a sample of 64 subjects and applied the new learning technique. After that, their performance score on the test increased by 2 (x=52). Did the new learning technique improve/had any effect on the performance? The answer, using 4 steps of hypothesis testing. Please use APA style to report your result. Assume that a-level=.05 2. You are interested in the effect of a new learning technique. The performance score on the test before applying the new learning technique is 50 (u=50), the standard deviation is 24 (o=24). You obtained a sample of 64 subjects and applied the new learning technique. After that, their performance score on the test increased by 2 (x=52). Did the new learning technique improve/had any effect on the performance? The answer, using 4 steps of hypothesis testing.…

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Consider the following. (Give your answers correct to four decimal places.) (a) Determine the level of confidence given the confidence coefficient z(a/2) for z(a/2) 1.63. X