Suppose we believe that the life length 'T' (in hours) of light bulbis exponentially distributed with parameter à = 0.005. We obtain a sample of 150bulbs, test them and record their burning time say T, T2, T3... Ti50 and tabulateTest the hypothesis that the data represent a random samplefrom an exponential distribution with à = 0.005 at level of significance, a =it0.01.

Answered: Image /qna-images/answer/74291eda-788c-440f-aafa-b6fb6c73e9e6.jpg

Answered: Suppose we believe that the life length…

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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Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.+ Over a period months, an adult male patient has taken five blood tests for uric acid. The mean concentration was x = 5.34 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.83 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) Oo is unknown O uniform distribution of uric acid F σ is known O normal distribution of uric acid On is large (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O The probability that…
A population has a mean µ = 161 and a standard deviation o = 20. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 56. The mean is = μx (Round to three decimal places as needed.) and the standard deviation is o- = X 3 X
A distribution with µ = 55 and o = 6 is being standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the distribution is standardized, what value will be obtained for a score of X= 58 from the original distribution?
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)? =
The length of human pregnancies from conception to birth is known to be normally distributed with a mean of 266 days and standard deviation of 16 days. A pregnancy longer than "nine months" might be considered as 274 days or longer (four months have 30 days, and February has 28 in most years). What proportion of pregnancies last more than "9 months?" First, find the z-score for 274: (274 -266)/16 0.5. Then, find the area to the of 0.5, using the table. Your answer Need help on this question? Read the ebook page on this topic (1no penaltyi Geta hint (fewer pelnte Show answer (nopoint
Suppose that the time spent by children under the age of 12 in front of a screen per year has the distribution N(1500, 250)N(1500,250); i.e, is Normal with mean \mu = 1500μ=1500 and standard deviation \sigma = 250σ=250. What proportion of children spend between 1500 and 1750 hours in front of a screen? (Express your answer as a decimal, not a percentage.)
A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation will be u =50 and o=10.When the distribution is standardized,which value will be obtained for a score of x=58 from the original distribution? x=53 x=55 X=58 x=61
Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What IQ score would be needed to score in the top 2% of IQ scores?
In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 9090 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 8484 mg/mi and standard deviation 66 mg/mi. (a) What is the probability that a single car of this model emits more than 9090 mg/mi of NOX ++ NMOG? (Enter your answer rounded to four decimal places.) (b) A company has 1616 cars of this model in its fleet. What is the probability that the average NOX ++ NMOG level ?¯x¯ of these cars is above 9090 mg/mi? (Enter your answer rounded to four decimal places.)
Let Y be a random variable with the mgfM(t) = .35e^(−4t) + .1 + .25e^(2t) + .3e^(4t).(a) What is the pmf of Y?(b) Calculate the variance of Y directly from the pmf you determined in part (a).(c) Calculate E[Y^4] directly from the mgf.
Suppose that pulse rates among healthy adults are normally distributed beats beats with a mean of 80 and a standard deviation of 8 What minute minute beats proportion of healthy adults have pulse rates that are more than 90 minute Round your answer to at least four decimal places.

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