Question 4: Constructing a confidence region for the difference of twomean vectors, 1+2,consider two populations are normally distributed.Construct a confidence region for the difference of two mean vectors, 1+2,where the following values from the data are computed as:204.413825.3 23823.423823.4 73107.4n = 45556.6130.0355.08632.0 19616.719616.7 55964.5nz = 55Consider two samples are large, use chi-square distributionUsing R programming Compute the following:1. Computed test statistic T2,2. degrees of freedom df3. Critical value4. Decision5. Simultaneous confidence intervals using linear combinations

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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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Demand for whole turkey at County Market store during the Thanksgiving break can beapproximated by a normal distribution with an average of 55 pounds and a standard deviation of10 pounds. The turkey sells for $5 per pound, and the unit cost to the store is $1.8 per pound. For any leftover turkey after thanksgiving, the store will donate to local community center which results in a small tax deduction that is worth $0.20 per pound.Find the optimal stocking level for the turkey for the Thanksgiving week and the expected profit based on the optimal stocking level.
Which procedure is preferred if the procedure must be complete in 26 minutes.
Part Variability is critical in the manufacturing of the ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wear out. Production standards call for a maximum variance of .0001 when the bearing sizes are measured in inches. A sample of 15 bearings shows a sample standard deviation of .014. a. Compute the 90% confidence interval estimate of the variance of the ball bearings in the population. b. Use a= 0.10 to determine whether the sample indicates that the maximum acceptable variance is being exceeded. Use critical value approach. ( Note: You must state null and alternative hypotheses, compute the test statistic, Report the critical Value, and draw a conclusion.
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Which procedure is preferred if the procedure must be done in 31.5 minutes
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 20 minutes and a standard deviation of 7 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 17 minutes, (b) between 20 and 29 minutes, and (c) more than 30 minutes. Question content area bottom Part 1 (a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is enter your response here. (Round to four decimal places as needed.) Part 2 (b) The probability that a randomly selected athlete uses a stairclimber between 20 and 29 minutes is enter your response here. (Round to four decimal places as needed.) Part 3 (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is enter your response here. (Round to four decimal places as needed.)
Determine your test statistic: either use a z-test or t-test• There are three key questions to ask: Is the variance of the population known? Is the distribution of the population normal (or approx. normal)? Is the sample size large?1. When the variance is known and either the distribution is normal or sample size is large,use a z-test statistic2. When the variance is unknown and a sample size less than 30, use a t-test statistic aslong as the population is normal (or approx. normal)?
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 20 minutes and a standaard deviation of 7 mintuses. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 15 minutes (b) between 20 and 27 minutes and (c) more than 30 minutes (a) The probability that a randomly selected athlete uses a stairclimber for less than 15 minutes is ( round to four decimal places as needed )

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Constructing a confidence region for the difference of two tors, Σ1+Σ2, vo populations are normally distributed. confidence region for the difference of two mean vectors, 1 2,