The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 8 months. Find the probability that a random sample of 32 smoke detectors will have a mean lifetime between 58 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal

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Q: st is designed so that the mean is 100 and the standard deviation is 16 for the population of…

A: The sample size can be calculated as: n=z×σE2 Here, z = desired confidence level E = The allowable…

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A: given data sample size (n) = 50sample mean ( x¯ ) = 28.1sample standard deviation (s) = 495% ci for…

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A: Solution-: Given: σ=72,s=7 we want to find necessary sample size (n)=?

Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…

A:

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population…

A: The following information has been provided: x¯=100σ=16

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Given information-We have given that adults have IQ scores that are normally distributed.μ= 105σ =…

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Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…

A: Solution

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Obtain the Z-score for the random variable X equals 129. The Z-score for the random variable X…

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A: Step 1: State the given: population mean, µ = 35population standard deviation, σ = 11 Step 2: Recall…

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A: Given that Population mean=100  Standard deviation =5  We have to find 21.. probability of selecting…

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A: Let X= the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

Q: A sample of 3000 observations has a mean of 88 and a standard deviation of 13. The distribution is…

A: Solution :  Given:   n   = 3000 samples              x¯   = 88               s   = 13 For bell…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

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A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: Suppose a randomly selected sample of n = 36 men has a mean foot length of x = 27.5 cm, and the…

A: Given data: Sample size = 36 Mean = 27.5 cm Sample standard deviation = 2 cm

Q: 9. Assume that the heights of a population of adults form a normal distribution with a mean p =69…

A: Solution: Question 9 Given information: n= 25 Sample size μ=69  inches  Population standard…

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A: It is given that p = 0.117 and n =2,760.

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Given X is normal Distributed with mean µ = 100.0 and standard deviation σ = 15.0 now will using…

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Q: Alexander Borbely is a professor at the University of Zurich Medical School, where he is director of…

A: Hrs Xi         Freq fi             pi=fi/200         xi* pi              pi*(x-7.9)^2 3.5…

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A: Let, X be the lifetimes of TV tubes. X~Nμ,σ2 where, μ=the mean lifetime of TV tubes which is unknown…

Q: Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.2…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Given information Population mean µ = 100 Standard deviation σ = 20 We have to find the probability…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15

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Q: Do you want to own your own candy store? Wow! With some interest in running your own business and a…

A: a)

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A:

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 23 for the population…

A: Given information- Population standard deviation, σ = 23 Confidence interval = 0.95 Significance…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X is defined as the adult have IQ scores that are normally distributed with mean of 100 and…

Q: calcium levels in people are normally distributed with a mean of 9.6 MG and a standard deviation of…

A: X~N( μ , ?)   μ=9.6 , ?=0.3   Z-score =( x - μ )/?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.1 and a standard…

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…

A: Given data,μ=100σ=10E=2z-value at 95% confidence is Zc=1.96n=?

Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…

A: SD = 120 hours99% = 99/100 = 0.99X = 925 hours