the interval estimation of μ when σ is known and the sample is large, the proper distribution to use is | | the normal distribution | | | the t distribution with n degrees of freedom | | | the t distribution with n + 1 degrees of freedom | | | the t distribution with n + 2 degrees of freedom | 5 points QUESTION 2 1. An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the | | confidence level
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47 8 15.47 18 16.05 28 16.51 9 15.65 19 16.21 29 16.91 10 15.74 20 16.21 30 16.96 Write a two to three (2-3) page report in which you: 1 Calculate the mean, median, and standard deviation for ounces in the bottles. 2 Construct a 95% Confidence Interval for the ounces in the bottles. 3 Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test. 4
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students would be required to ensure that a 95% confidence interval estimate for the mean caffeine intake (measured in mg) is within 15 units of the true mean? Assume that the standard deviation in caffeine intake is 68 mg. 3. Consider the study proposed in problem #2. How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5% of the true proportion with 95% confidence. 9.3 Practice Problems # Hours # AVG
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Furthermore, independent lifestyle is a big and significant part in one person's life. Many people in other countries want to run their life on their own. They aspire for an independent life and eventually this would develop their self-esteem and confidence level. In addition to this, students can make new friends there and consequently they will be well-developed in the language skills. Sometimes students might be suffering from many difficulties but they could develop their abilities to tackle problems
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deviation. The results are defined in the following Excel image. 2. My next task is to construct a 95% confidence interval for the ounces in the bottles. The population mean (µ) is the parameter that I will be using for this equation. From the random sample, the value of µ is x=14.92 The confidence level of the based on this sample will be constructed to capture the µ with 95% confidence. The sample size is n=30 and the population standard deviation is 0.55. According to the central limit
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Lab 61: Confidence Intervals on Proportions In this lab you're going to use the simulation at http://statweb.calpoly.edu/chance/applets/Reeses/ReesesPieces.html to take virtual samples of Reese's pieces (sorry no real chocolate) Open up the simulator and set π = .3. This is really p, but on my screen it comes out as π, set Sample Size, n = 30 . This means we are setting the proportion of orange Reese's pieces as .3 When you click on "Select Sample" the computer will pull 30 Reese's pieces
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NORTHEASTERN UNIVERSITY - GRADUATE SCHOOL OF BUSINESS ADMINISTRATION MGSC 6200: DATA ANALYSIS Spring, 2015 Instructor Information Name: Dr. Nizar Zaarour E-mail address: n.zaarour@neu.edu Office: 214 Hayden Hall Office hours: Monday and Wednesday: 12 – 2 PM and by appointment. Course Overview The objectives of this course are: (1) To provide you with an understanding of statistical methods and techniques and their usefulness in the decision-making process, (2) To expose you to the methods of descriptive
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below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 (a) Construct a 95 percent confidence interval for the true mean. x-bar = 346.5 s = 170.378 t-critical value for 95% CI with df=19 = 2.093 E = 2.093*170.378/sqrt (20) = 2.0931.96*38.0976=79.74 95% CI : (346.5-79.74,346.5+79.74) (b) Why might normality be an issue here? The Confidence Interval is a statement about the whole population. The random sample is probably not representative of the whole population
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Hypothesis Testing: One Population Hypothesis testing is used to make decisions about a population based on the analysis of sample statistics. There are always two hypothesis statements which are mutually exclusive and complementary statements concerning the value of the population parameter of interest: Null Hypothesis (H0): An assumption regarding a population parameter of interest. This hypothesis always includes the equal sign as the null hypothesis is assumed to be true unless
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to 2 decimal places) Confidence level the interval is 68.26% 3. Let X be the value of the population. a) b) c) d) x ± Z 0.2 σ x x ± Z 0.1 σ x x ± Z 0.05 σ x x ± Z 0.02 σ x = = = = x ± 0.84σ x x ± 1.28σ x x ± 1.64σ x x ± 2.05σ x 4. Let X be the waiting time of the customer. a) b) c) σ = 5/2 = 2.5, x = 25 x ± Z0.025 σ = 25 ± 1.96 (2.5) = (20.10, 29.90) minutes σ = 5/3 = 1.6667, x = 15 x ± Z0.025 σ = 15 ± 1.96 (1.6667) = (11.73, 18.27) minutes Confidence interval is used to estimate a
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