6) We make four independent measurement of the conductivity of a certain material. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X1 = 10, X2 = 14, X3 = 7, X4 = 9. a) Estimate the conductivity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 4. b) Estimate the standard deviation. c) Test the hypothesis that the conductivity is 7 on the 10%-significance level assuming the standard deviation to be known and equal to o = 4. d) Give a 90% confidence interval assuming the standard deviation not known.

6) We make four independent measurement of the conductivity of a certain material. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X1 = 10, X2 = 14, X3 = 7, X4 = 9. a) Estimate the conductivity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 4. b) Estimate the standard deviation. c) Test the hypothesis that the conductivity is 7 on the 10%-significance level assuming the standard deviation to be known and equal to o = 4. d) Give a 90% confidence interval assuming the standard deviation not known.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
Solve its from frequency distribution and graphic presentations
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 194 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.95 cm, y=81.57 kg, r=0.362, P-value=0.000, and y=−103+1.07x. Find the best predicted value of y (weight) given an adult male who is 180 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 180 cm tall is= kg.
Please help with this.
The length (in mm) of a spring subjected to a force FNewtons is of the form L = a + BF+ ɛ, where ɛ is assumed normally distributed with mean 0, variance o2. Given the sample statisticsn=D13, E F;= 138, E L; = 577, SEL = -43, SEF= 1735, estimate the expected length of the spring when a force of 11.2 Newtons is applied. (Give your answer correct to 2 decimal places.) Answer: Ti Check 江一 prime viden Type here to search 19 hp ins prt fu f12 f8 f9 f10 f7 f5 f6 『米 " JOI JDI & 6 7 8 5 96 %24 3
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
Please solve this question.Thanks for your help :)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 188 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.62 cm, y = 81.37 kg, r 0.113, P-value = 0.263, and y = - 105+1.01x. Find the best predicted value of y (weight) given an adult male who is 142 cm tall. Use a 0.05 significance level. %3D The best predicted value of y for an adult male who is 142 cm tall is kg. (Round to two decimal places 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=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.
A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.07 pounds. At a = 0.1, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. Ο Α H0: μ 3.1 Ha: u> 3.1 В. Но: и#3.1 Ha: H= 3.1 c. H0 μ>3.1 Ha: us3.1 D. Ho:µ=3.3 Ha: u#3.3 E. Ho: µs3.3 Ha: µ> 3.3 F. Но: > 3.3 Ha: us3.3 (b) Identify the standardized test statistic, z. (Round to two decimal places as needed.) (c) Find the P-value. Hint: Keep in mind that P-value depends on the type of test. Left-tailed test: P-value=Area (where Area = the number from the table) Right-tailed test: P-value=1-Area Two-tailed test: P-value=2*Area P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Compare P with a and then State your conclusion. O A. Fail to reject Ho. There is not…