Let the sample size of the television tube brightness experiment be ten and the sample mean and sample standard deviation be 322.4microamps and 19.5 microamps, respectively. Suppose that the design engineer claims that this tube will require at least 300microamps of current to produce the desired brightness level.Choose an appropriate hypothesis to test.H₂=μ = |4|Find the P-value for this test.O 0.25 < P-value < 0.50O 0.0005 < P-value < 0.0010O 0.0025 < P-value < 0.0050O 0.025 < P-value < 0.050With a significance level of a = 0.05,H₁:μHo-iFor this test, we assumed that the underlying distribution of the data is a t-distribution.

Answered: et the sample size of the television…

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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5) Two samples are taken with the following sample means, sizes, and standard deviations¯x1 = 20 ¯x2 = 29n1 = 61 n2 = 50s1= 2 s2 = 5Estimate the difference in population means using a 94% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth.______< μ1−μ2 < ________
Currently patrons at the library speak at an average of 64 decibels. Will this average change after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 69 people speaking at the library. Their average decibel level was 61.7 and their standard deviation was 6. What can be concluded at the α = 0.05 level of significance? H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
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.
Answer please
Question 6 MO22. A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: p = 12 against H, : p< 12, using a random sample of 4 specimens. Find B for the case where the true mean elongation is 11.26 kilograms. Round your answers to 4 decimal places i.e., 0.0000. Provide all necessary solutions. B = Blank 1 Blank 1 Add your answer
Two samples are taken with the following sample means, sizes, and standard deviations¯x1 = 29 ¯x2 = 33n1 = 65 n2 = 70s1 = 5 s2 = 4Estimate the difference in population means using a 86% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth.______< μ1−μ2 < _____
4
As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
QUESTION 9 A population has a standard deviation of 8. What is the minimum sample size needed to estimate a mean to within 2 units with 66.8% confidence? O A. 13 ОВ. 15 ОС. 14 O D. 12 O E. 16 QUESTION 10 A sample of 40 is taken from a population where the population standard deviation is known to be 5. What z should be used for an 78.7% confiden 'a12 estimate of the mean, rounded to five decimal places? O A. 1.24518 O B. 1.24526 OC1 24541 DELL F10 F8 Esc F6 F7 F4 F5 F3 # 2$ % 7 3 4
A population has parameters μ = n = 191. 49.2 and o= = 55.3. You intend to draw a random sample of size What is the mean of the distribution of sample means? fx = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Ox =
Use calculator t3 .
Lexus administered a Math Assessment test to a random sample of 50 graduating students. In this sample, the mean is 94 and standard deviation of 8. The population parameter are μ=88 and σ=15. Is the performance of the sample above average? Use α=0.05 and the p-value method.a. What is the p-value?0.00230.00460.0010none of theseb. The alternative hypothesis isμ≠88μ>88μ<88none of thesec. The null hypothesis isμ=88μ≥88μ≤88none of these d. Based on the result, the decision isReject the null hypothesisAccept the null hypothesisNo decisionNone of these

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