A manufacturer claims that the mean lifetime, u, of its light bulbs is 42 months. The standard deviation of these lifetimes is 6 months. Twenty-seven bulbs areselected at random, and their mean lifetime is found to be 41 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level ofsignificance, that the mean lifetime of light bulbs made by this manufacturer differs from 42 months?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H1.pH, :0H, :0(b) Determine the type of test statistic to use.D=DOSO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the two critical values. (Round to three or more decimal places.)Dand(e) Can we conclude that the mean lifetime of light bulbs made by thismanufacturer differs from 42 months?YesNo

Answered: Image /qna-images/answer/e997d24b-f2a3-4a0e-a109-c3b910299d91.jpg

Answered: A manufacturer claims that the mean…

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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The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)
a data set has a mean of 210 and a standard deviation of 40, what is the z- Score for a ralue of140 If
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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1469 and a standard deviation of 296. The local college includes a minimum score of 1824 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate the time it takes the loading crew to load a truck. The shipping manager has found that she can model the load times using a normal distribution with a mean of 152 minutes and a standard deviation of 15 minutes. Use this table or the ALEKS calculator to find the percentage of load times between 116 minutes and 149 minutes according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
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We want to test whether the mean fluoride levels in water fountains is worse in A or B. In order to test, a sample of 49 different water samples was taken from A and a sample was taken from 36 samples in B. A has a sample average of 2.3 micrograms of fluroide per deciliter of water and B has a sample average of 1.4 micrograms per deciliter of water. Further, A has a known standard deviation A=1.5 and B has a known standard deviation B=1.7. Find the p-value for the following hypothesis test: H0: uA-uB=0 vs Ha: uA-uB>0.
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 50 men and 74 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women Mean N StDev SE Mean Men Women 95% Cl for mu Men - mu Women (- 10.67, - 1.13) T-Test mu Men = mu Women (vs H2 B. Ho: H1 = H2;

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