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

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

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Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: The mean test score is 1463 and standard deviation is 315. The z-score for 1860 is,…

Q: A race director is preparing for an upcoming marathon and estimates that the mean time to finish is…

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Q: The mean wingspan of a sample of 31 birds of a particular species is 30 inches.  The standard…

A: Sample size n =31 Sample mean=30 Population standard deviation =4

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 75…

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

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Q: Suppose that a sample of 15 observations has resulted in a sample mean of 12.58 and a sample…

A: n1=15, mean X̄n1=12.58, sn1=0.512

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

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

Q: A sample of 169 is drawn from a certain population. This sample has a mean of 80 and a standard…

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Q: Assume that 11.7% of adults consider being a professional athlete their dream job. Find the…

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

Q: A population has mean 7575 and standard deviation 1212. Random samples of size 121121 are taken.…

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Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: Given that μ=142σ=13n=49

Q: c. Find the minimum number for the upper quarter of percent of fat calories.

A: The mean is 38 and the standard deviation is 10.

Q: minute after jogging for twenty minutes, and the average breathing rate of the second sample was 19…

A: Given that    Sample sizes n1=32      , n2=32     Sample means X̄1=21      , X̄2=19   ?1 =4.2…

Q: About 7% of the population has a particular genetic mutation. 183 people are randomly selected.…

A: Given Information: Number of people, n = 183 Percentage of population has a particular genetic…

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: t the residents of a local town reported sleeping an average of a=7.97 hours each night with a…

A: Given : sample mean= x̅ = 7.766 population mean=μ = 7.97

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

Q: Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.…

A: Question: Suppose that the hemoglobin levels among healthy females are normally distributed with a…

Q: A population of values has a mean of 233.8 and standard deviation of 44.4.  Find the probability…

A: Suppose the variable of interest is x.It is given that; x has mean of  and the standard deviation…

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 271 days and a…

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

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…