Assume that you have a sample of n,8, with the sample mean X, -50, and a sample standard deviation of B, -5, and you have an independent sample of n₂-15 from another population with a sample mean of%₂31, and the sample standard deviation S₂-7. Construct a 99% confidenceinterval estimate of the population mean difference between p, and ₂. Assume that the two population variances are equal.³4-40(Round to two decimal places as needed)F2F3F4F5F6F7F8F9F10F11F12PrtScrg2010InsertNext1:34 AM12/21/202

given data sample 1x¯1 = 50s1 = 5n1 =9sample 2x¯2 =31s2 = 7n2 = 1599% ci for μ1-μ2assume equal…

Answered: Assume that you have a sample of n,8,…

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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Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 99 percent confidence interval for the ratio: population variance of population B divided by population variance of population A? Use stattrek.org for finding the needed critical values.
A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.
X. is found to be 19.1, and the A simple random sample of sizen is drawn from a population that is normally distributed. The sample mean, sample standard deviation, s, is found to be 4.9. (a) Construct a 96% confidence interval about u if the sample size, n, is 39. (b) Construct a 96% confidence interval about u if the sample size, n, is 68. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 39. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 14, what conditions must be satisfied to compute the confidence interval? (a) Construct a 96% confidence interval about u if the sample size, n, is 39. Lower bound: Upper bound: (Round to two decimal places as needed.) (b) Construct a 96% confidence interval about u if the sample size, n, is 68. Lower bound: ; Upper bound: (Round to two decimal places as needed.) How does increasing the sample…
e this K 23-2....xlsx ^ Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 43, and a sample standard deviation of S₁ = 5, and you have an independent sample of n₂ = 16 from another population with a sample mean of X₂ = 31, and the sample standard deviation S₂ = 8. Construct a 90% confidence interval estimate of the population mean difference between ₁ and μ2. Assume that the two population variances are equal. ₁-₂ (Round to two decimal places as needed.) View an example Get more help. data-2_13_2023-2....xlsx ^ ... (0,0) Clear all More- Check answer Show all X ►
Step 1 of 3. State the null and alternative hypotheses for the test. Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places Step 3 of 3. Draw a conclusion and interpret the decision.
You have taken a random sample of sizen & 95of a normal population that has a population mean ofμ = 140and a population standard deviation ofo = 23. Your sample, which is Sample 1 in the following table, has a mean ofx = 141.3. (In the table, Sample 1 is indicated by "M1", Sample 2 by "M2", and so on.) (to) Based on Sample 1, plot the confidence intervals of80%and95%for the population mean. Use1,282as the critical value for the confidence interval of 80%and use1960 as the critical value for the confidence interval of95%. (If necessary, you can refer to a list of formulas .) • Write the upper limit and the lower limit on the graphs to indicate each confidence interval. Write the answers with one decimal place. • For the points (♦and ◆), write the population mean, μ = 140. 128.0 128.0 80% confidence interval 139.0 X Ś 150.0 150.0 128.0 128.0 95% confidence interval 139.0 X Ś 150.0 150.0
12. Two independent samples are taken from two populations. Sample 1 has a mean of 12.8, a standard deviation of 2.3, and a sample size of 18. Sample 2 has a mean of 14.2, a standard deviation of 5.2, and a sample size of 23. This gives a standard error se(Ã1 — Ă2) = 1.212. A 95% confidence interval for the difference between the two means is: (A) (-2.00, -0.80). (B) (11.66, 13.94). (C) (-3.96, 1.16). (D) (-3.85, 1.05). (E) (-3.78, 0.98).
Question 7 > You wish to test the following claim (Ha) at a significance level of a = 0.05. H.: 41 Ha: µ1 7 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you have reason to believe that the variances of the two populations are equal. You obtain a sample of size nį = 14 with a mean of M1 first population. You obtain a sample of size n2 of SD2 = 7.4 from the second population. = 67.8 and a standard deviation of SD1 19 with a mean of M2 15.5 from the 61.7 and a standard deviation In the answer box below insert 2.0395 as the critical value for this test. (Report answer accurate to three decimal places.) critical value What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D The test statistic is... O in the critical region O not in the critical region
A sample of n = 7 scores is selected from a population with an unknown mean ( µ). The sample has a mean of M = 40 and a variance of s 2 = 63. Which of the following is the correct 95% confidence interval for µ?

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