7a) Width of the confidence interval=0.8349-0.6651=0.1698 (2x1.96)((0.75)(1-0.75)/n)^1/2=0.1698 n=100 7b) (2z) )((0.75)(1-0.75)/100)^1/2=0.1299 Z=1.499955 P(z<1.50)=0.9332 So the new confidence level is 93.32% 8a) Yes, the manufacturer should assume that the average would be 21714 miles driven. It is because the sample mean(21714miles) is usually equal to the population mean. Sample mean is the unbiased estimator of the population mean
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Explore |Notes | |Output Created |12-Feb-2012 14:20:11 | |Comments | | |Input |Active Dataset |DataSet1
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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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* Construct a 95% Confidence Interval for the proportion of blue M&Ms’ candies. Solution: The confidence interval is given as p±z1-α2 p1-pn where, p represents the proportion of success=proportion of blue M&Ms’ candies=0.213944 n represents sample size=9194 Z1-α2for 95% confidence level=1.96 Therefore, the required Confidence Interval is given as p±z1-α2 p1-pn =0.213944±1.960.2139441-0.2139449194 =0.213944±0.008383 =(0.205561, 0.222327) * Construct
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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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ratings by gender: 13 of the 87 events went passed the 99% confidence limit * The regression linear graph represents a linear correlation, which shows the slope of women’s LCU magnitude was average but greater than men by 17% * LCU ratings by age: when young was compared to middle aged about 4 events went passed the confidence limits * When middle age was compared with older subjects, then about 16 events went passed the confidence limits * When the young were compared to the older
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Complete the following and submit the required information in one WORD document. The majority of the grade will be based on providing only the relevant data and correct interpretation of the data. Explain your results thoroughly; use the data to interpret the data. Do NOT assume that simply providing a chart or graph will suffice. Make sure to explain your findings. Review the Terminology video to help you understand the terms. Videos and Instructions are found on the Class Materials page in
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(two years), which we think should be enough to reach the steady-state. When we run the model with these settings, we get that the mean of the main response variable - average cost - is 568.4 and the half width is equal to 2.37. Although the confidence interval is not extremely wide taking into account the relatively high value of mean, we still perform a check whether it is possible to get more precise results by using common random numbers. To figure out if the model would benefit from the use of
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found to be 0.2. Give an interval based on your data so that you are 95% confident that the true value of the unknown proportion lies inside it. How would you explain 95% confidence to a layman? Suppose a professor of IIMA thinks that true proportion is 0.3. Are you ready to accept the professor’s perception based on your data at 99% confidence level? Solution – 1 Sample Size n = 100 (male smokers) p = 0.2 Sd (P) = √(pq / n) = .04 95% confidence interval of p = 0.2 ± 2 x 0
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model size intended for the research investigation. However, for a sample size calculators they are accessible through Creative Research Systems in addition to Raosoft in which the Creative Research System company has a field where the assurance interval could be put in, in which it will determine the scope of error for which it is going to happen for supporting on the responds of the research contributors (2010) (2004). Also the calculators preference offers an
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