Let X11, X12, ..., Xını and X21,X22, .. ,X2n2 form two normal distributions, whereX14 4 23 334| 53233442213X25 3534 535 5 325 3 3 435 54Construct the confidence interval for the hypothesis:H = 1, α 0.05.u2

we associate with the interval estimate is called a confidence interval. This probability indicates…

Answered: Let X11, X12, ,X1n1 and X21,X22, ...…

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 simple random sample of size n = 200 individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 40 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. The lower bound is The upper bound is (Round to three decimal places as needed.) (Round to three decimal places as needed.)
Construct a 90% confidence interval for u, - , with the sample statistics for mean calorie content of two bakeries specialty pies and confidence interval construction formula below Assume the populations are approximately normal with equal variances Bakery A Bakery B X1 = 1823 cal X, = 1629 cal S1 = 155 cal S2 = 190 cal n1 = 10 n2 = 12 Confidence interval when variances are equal n n. (n. - 1) s (n2 - 1) s where G and d.f = n, +n2 - 2 nn, - 2 Enter the endpoints of the interval (Round to the nearest integer as needed.)
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Two samples are drawn from populations that are independent of each other. Use this data to test the claim using a confidence interval approach that the means of both populations are the same. Use a significance level of 0.01. Sample A Sample B x¯=46.2 x¯=38.4 s=3.1 s=4.1 n=12 n=16 e) What is the margin of Error? E = f) What is the confidence interval for the difference of the two population means? ? < μ1μ1-μ2μ2< ? g) Based on our confidence interval in f) what is the decision? h) What is the conclusion?
Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years and the lifespans follow an approximately normal distribution. A random sample of 13 obituaries from newspapers from rural towns in Idaho give = 78.9 and s = 2.83. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho: Ha (b) Find the test statistic = (c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance) (Type: Yes or No)
The club will be preparing his male team players for the next basketball competition and the club randomly selects 30 of his male players and check their weights. The following table shows summary statistics for those players weights. Variable n Mean Standard deviation, s Weight 30 102 14 Calculate a 95% confidence interval (C.I.) for the population mean weight of all basketball male players in the club. What assumption would you need to make for the CI to be valid. Choose one from below. - Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution - The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population - Since the population is normal, therefore sample means follow a normal distribution - The points are randomly scattered around a straight line, so…
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A sample of 100 students was taken from the introductory statistics classes. This group averaged 74.5 on the final exam with a sample standard deviation of 3.2. Assuming that this group is a random sample of all students who have taken statistics and the scores in the final exam for all students are approximately normally distributed, what is the approximately 95% confidence interval for the true population mean of all statistics students?

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Let X11, X12, ,X1n1 and X21,X22, ... ,X2n2 form two normal distributions, where X1 4 4 3 3 3 3 4 5 3 2 3 3 4 4 2 2 1 3 X2 35 3 45 3 553 2 5 5 3 3 4 5 5 4 5 Construct the confidence interval for the hypothesis: H = =1, a = 0.05.