A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 125 is selected and  is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 11 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a…

A: Chebyshev’s inequality:Chebyshev’s rule is appropriate for any distribution. That is, Chebyshev’s…

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

A:

Q: A random variable X is normally distributed with a mean of 175 and a standard deviation of 25. Given…

A:

Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

A:

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A:

Q: The nails produced by a machine are assumed to have a mean of 5.0 cm. A random sample of 80 nails…

A: Null hypothesis: H0: µ=5. Alternative hypothesis: H1:µ>5. This is a right tailed test. Here, the…

Q: the population of weights of a particular fruit is normally distributed, with a mean of 766 grams…

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

A: Let "X" be the IQ score of the adults.

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.64…

A: Find z-value for  upper boundary (Upper limit): For the two-tail test, Area on each tail. Refer…

Q: Suppose a player's true batting average is Normal, with mu = .275, and standard deviation, sigma =…

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Q: A normal population has a mean of 20.0 and a standard deviation of 4.0. Compute the z value…

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Q: Suppose the population of all public Universities shows the annual parking fee per student is…

A: Let X be the annual parking fees per student. It is given that  X~N(110, 18) For a random sample of…

Q: Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size…

A: Given that, mean = 400 standard deviation =  24 n = 144

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a…

A: Empirical rule states for a bell shaped distribution with mean μ and standard deviation σ 68% of…

Q: Assume that an adult female is randomly selected. Suppose females have pulse rates that are normally…

A: Solution Let "X" be the female pulse rates in bpm. Refer Standard normal table/Z-table, Lookup…

Q: Researchers at a National weather center in the North Eastern United States recorded the number of…

A: To determine whether the data indicate that the past four years have had significantly more 90°days…

Q: If the random variable x is normally distributed with a mean of 88 and a standard deviation of 12,…

A: Given that, Mean = 88 Standard deviation = 12

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size…

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Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Find the probability that the person is between 65.1 and 66.4 inches? Let X = height of the…

Q: Suppose that the creatine kinase levels among healthy males are normally distributed with a standard…

A: Let, X=the creatine kinase levels among healthy males Given that X follows a normal distribution…

Q: The average lifetime of smoke detectors that a company manufactures is  5 years, or 60 months, and…

A: Given : μ = 60 , σ= 8 and n= 31 By Central Limit Theorem, x̅ follows a Normal distribution with…

Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: Let X denote the blood pressure data and it follows normal distribution with a mean of 70.2 and a…

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a…

A: Chebyshev inequality is not applicable for all sets of data, it only applicable for the data which…

Q: The diameter of a pipe is normally distributed with a mean of 0.4 inch and a standard deviation of…

A: Given data,μ=0.4σ=0.02P(X>0.418)=?

Q: 18. The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the…

A: Comment: As per the our company guidelines we are supposed to answer only one question. Kindly…

Q: A population has a standard deviation of 16. If a sample of size 64 Is selected from this population…

A: Given Information: Standard deviation (s) = 16  Sample size (n) = 64  Sample mean - Population mean…

Q: We have collected a sample of size 52. Assuming that we do not have the population standard…

A: Given,sample size(n)=52standard error(SE)=0.969

Q: A population has mean of 150 and standard deviation of 20. What is the probability that a random…

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Q: A sample of 200 people has a mean age of 21 with a population standard deviation (σ) of 5. Test the…

A: Given: Sample size(n)=200Sample mean(x¯)=21Population mean(μ)=18.9Population Standard deviation(σ)=5

Q: A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of 5 Ω. A…

A: Given that, A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of…

Q: the life of a certain model of phone is normally distributed with an average of 30 months and a…

A: It is given that the mean is 30 and the standard deviation is 6.

Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…

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Q: normally distributed with 0 for the mean and 1 for the standard deviation, what is the probaility…

A: Use the standard normal table to find the required probability.

Q: Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49…

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Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…

A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…

Q: Total serum cholesterol levels for individuals 65 years of age and older are assumed to follow a…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: A population of widgets produced by a machine has weights with mean of 200mg and standard deviation…

A:

Q: the probability of drawing a sample with a mean of more than $115 is closest to _______.

A:

Q: The diastolic BP in a certain population has a mean of 70 mm Hg and a standard deviation of 10 mm…

A:

Q: Assume that IQ are normally distributed with a mean of 100 and standard deviation of 18. For a…

A: Here, µ= 100, σ= 18. Thus, X~ N (100, 18). Sample size is 15.

Q: The random variable X is normally distributed with a mean of 80 and a standard deviation of 10,…

A: X is normally distributed with mean 80 and standard deviation 10, The P85≤X≤90 is obtained as below…

Q: The IQ's of 300 applicants to a certain college are approximately normally distributed with a Mean…

A: Given: The IQ's of 300 applicants to a certain college are approximately normally distributed N.…

Q: Suppose that the creatine kinase levels among healthy males are normally distributed with a standard…

A: From the provided information, Standard deviation (σ) = 22 Let mean creatine kinase level in healthy…

Q: Suppose that a company makes light bulbs with a mean life of 310 hours, and a standard deviation of…

A: Given that, Mean, mu= 310 And standard deviation, sigma= 47 We know that, Z Score= (X-mu)/sigma

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a…

A: Obtain the minimum and maximum possible body temperatures that are within 3 standard deviations of…

Q: The weights of the fish in a certain lake are normally distributed with a mean of 15 lb. and…

A: Consider X be a random variable which follows normal distribution indicates the weight of fish. The…

Q: Assume that blood pressure readings are normally distributed with a mean of 116 and a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.