2) We make four independent measurement of the solidity of a certain polymer. We assumethat the measurement errors are normal and have zero expectation. We also assume that allmeasurements have the same standard deviation. The measurement values areX₁ = 20, X₂ = 22, X3 = 19, X4 = 19.a) Estimate the solidity and give a 95% confidence interval assuming that the standard deviationfor one measurement is o = 3.b) Assume now the standard deviation not know. Estimate the standard deviation from thedata..c) Test the hypothesis that the conductivity is 17 on the 90% level assuming the standarddeviation to be known and equal to o = 3.

Hypothesis tests and confidence intervals are used to compare whether the sample is taken from the…

Answered: 2) We make four independent measurement…

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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For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x = 6.2, y = 6.0, r=-0.209, P-value = 0.144, and y=7.48 -0.239x. Find the best predicted value of ŷ (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 4. Use a 0.05 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.) C
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x-6.4, y= 6.1, r= - 0.226, P-value = 0.115, and y = 7.81 - 0.269x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 6. Use a 0.10 significance level. The best predicted value of y when x= 6 is (Round to one decimal place as needed.)
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=61.7σ=61.7. You would like to be 95% confident that your esimate is within 2.5 of the true population mean. How large of a sample size is required?n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.
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A certain model of car can be ordered with either a large or small engine. The mean number of miles per gallon for cars with a small engine is 6.8. An automotive engineer thinks that the mean for cars with the larger engine is higher than this. State the appropriate null and alternate hypotheses. The null hypothesis is Hoμ (Choose one) The alternate hypothesis is H₁ μu (Choose one) ×
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x = 6.4, y = 6.0, r=-0.233, P-value = 0.104, and ŷ= 7.88 -0.292x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 4. Use a 0.01 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.)
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=23.2σ=23.2. You would like to be 98% confident that your esimate is within 0.2 of the true population mean. How large of a sample size is required?n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers. Submit QuestionQuestion 15
Let X1, . . . , Xn ∼ iid N(0, τ ). Find a pivot V (X, τ ) based on a complete sufficient statistic, andusing V (X, τ ) construct a 100γ% confidence interval for τ .
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=77.5σ=77.5. You would like to be 99% confident that your esimate is within 0.5 of the true population mean. How large of a sample size is required?n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=57.4σ=57.4. You would like to be 99.5% confident that your esimate is within 1 of the true population mean. How large of a sample size is required?n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.

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