A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than4000 hours. To test this claim, a reputable testing firm took a random sample of 100 bulbs and lifetested them. The testing firm found the average life of the sample to be 4500 hours with a samplestandard deviation, s = 400 hours.The value of the test statistic for this problem is1.25-1.25O 12.5O -12.5None of the values listed are correct A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is.more than4000 hours. To test this claim, a reputable testing firm took a random sample of 100 bulbs and lifetested them. The testing firm found the average life of the sample to be 4500 hours with a samplestandard deviation, s = 400 hours.Select the appropriate null and alternative hypothesis used to test the manufacturer's claim.HO: u = 4000 against H1: u < 4000HO: u < 4500 against H1: µ = 4500HO: u = 4000 against H1: µ > 4000HO: u = 4000 against H1: µ < 4000O HO: u = 4000 against H1: H= 4500%3D

Given that Hypothesized Population Mean (\mu)(μ) = 40004000 Sample Standard Deviation (s)(s) =…

Answered: A manufacturer of new light bulbs…

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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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 35.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (e). Part 1(a) Identify H0 and Ha. Choose the correct answer below. A.) H0:μ≥35.4 Ha:μ<35.4 B.) H0:μ≠35 Ha:μ=35 C.) H0:μ=35 Ha:μ≠35 D.) H0: μ≥35 Ha: μ<35 E.) H0: μ≠35.4 Ha:μ=35.4 F.) H0: μ=35.4 Ha:μ≠ 35.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (c) Find the standardized test statistic. z= (d) Decide whether to reject or fail to reject…
In a random sample of 75 eighth grade students scores on a national mathematics assessment test has a mean score of 266. The test result prompts a state school administration to declare that the mean score for the stated eighth graders on this exam is more than 260. Assume the population standard deviation is 34. At a=0.09, is there enough evidence to support the administrations claim? Write the claim mathematically and identify Ho and Ha Find the standardized test statistic z, and its corresponding area
Based on sample data, newborn males have weights with a mean of3250.3g and a standard deviation of 726.3g. Newborn females have weights with a mean of 3061.3g and a standard deviation of 546.4g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1600g or a female who weighs 1600g? Since the z score for the male is z= ?
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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. A. H0: μ=40 Ha: μ≠40 B. H0: μ=38.9 Ha: μ≠38.9 C. H0: μ≠40 Ha: μ=40 D. H0: μ≤40 Ha: μ>40 E. H0: μ≤38.9 Ha: μ>38.9 F. H0: μ≠38.9 Ha: μ=

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