A population of values has a normal distribution with μ=151.5μ and σ=75.8. You intend to draw a random sample of size n=92. Find the probability that a single randomly selected value is between 138.9 and 174.4. P(138.9 < X < 174.4) =  Find the probability that a sample of size n=92 is randomly selected with a mean between 138.9 and 174.4. P(138.9 < ¯x < 174.4) =  Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using z-scores correct to two decimal places.

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given that  Mean=μ=36 Standard deviation=?=10 X~N( μ = 36 , ? = 10 ) Z-score =( x - μ )/?

Q: Q3: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003…

A: Given that  Mean = 1.01 , Standard deviation = 0.003 n = 9

Q: The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption…

A: X  denotes the amount of sodium consumed. a. consumption of sodium by American men is normally…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130

A: Let X be the random variable such that the height of maple trees at age of 5. As given  X~ N(μ,σ)…

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.2 and a standard…

A: Given that adults have IQ scores that are normally distributed with, Mean = 101.2 Standard deviation…

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: devia that a random sample of n = 9 sections of pipe will have a samp ch and less than 1.012 inch.

A:

Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A: Given, Let X= 4.9, 4.2, 4.5, 4.1, 4.4, 4.3

Q: The average THC content of marijuana sold on the street is 9.6%. Suppose the THC content is normally…

A: From the provided information, Mean (µ) = 9.6 Standard deviation (σ) = 1

Q: A population of values has a normal distribution with = 162.5 and o= 89.7. You intend to draw a…

A: Given,sample size(n)=231mean(μ)=162.5standard deviation(σ)=89.7

Q: A population of values has a normal distribution with μ=110.3μ=110.3 and σ=79.6σ=79.6. A random…

A: The random variable is x. It follows standard normal distribution. The population mean is 110.3. The…

Q: Let X represent the full height of certain species of tree. Assume that X is normally distributed…

A: Given data,μ=35.2σ=28.7P(X&gt;58.2)=?

Q: he IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one…

A: Given that  Mean=100 SD=15 X = IQ of an individual. The probability that a randomly selected person…

Q: about 34 and a standard deviation of 11. Suppose that one individual is randomly chosen. Let…

A:

Q: The average diameter of sand dollars on a certain island is 5.00 centimeters with a standard…

A: From the provided information,

Q: Assume that thermometer readings are normally distributed with a mean of 0  and standard deviation…

A:

Q: Suppose the GPAs of all VVC students have an approximately normal distribution with a mean of 2.98…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: C. X is a normally distributed random variable with a mean of 57 and a standard deviation of 6. Find…

A: Given data : Population mean  = 57 Population standard deviation = 6

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: GivenMean(μ)=0οCstandard deviation(σ)=1.00oC

Q: 03: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003…

A:

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: GivenMean(μ)=33standard deviation(σ)=10sample size(n)=9

Q: Suppose X be a normally distributed random variable with unknown mean μ and a standard deviation of…

A:

Q: 03: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003…

A: Answer: From the given data, Mean (μ) = 1.01 Standard deviation (σ) = 0.003 For a random sample of…

Q: The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption…

A: Given H=9.6 and σ=1 (a) Then, the distribution of X is, X ~ N(9.6 grams ,1 grams)

Q: Use R to determine P(3.1<ỹ<5.1) for a Normal distribution with a mean of 4.3 and a standard…

A: Use R programming

Q: Find the probability that the reading is less than 3.81

A: Let X denote the reading of thermometer. Given that X follows N(mean = 0, SD = 1)

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given information- Population Mean µ = 35 Standard deviation (σ) = 9 Let X be the percent of fat…

Q: Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg.…

A: Given,mean(μ)=60standard deviation(σ)=18 Sample size(n)=40

Q: standard

A: Given: Mean, μ=80 Standard deviation, σ=7 Sample size, n=49 To find: P (X&gt;82) Using normal…

Q: Assume that for the population of all unemployed individuals in Minnesota, the population mean…

A:

Q: A sample has a mean of M=60 and a standard deviation of s=7.  For this sample, find the z-score for…

A:

Q: The average grade for an exam is 74, and the standard deviation is 7. If 11.9% of the class is given…

A: Given: μ = 74 σ = 7 Formula Used: z-score = X-μσ

Q: Q3: PVC pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003…

A: Given that  Mean = 1.01 , Standard deviations = 0.003  Sample size = n = 9

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A:

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.

A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then  Z = (X…

Q: A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of…

A:

Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability…

A: Given information- Population mean, μ = 6.9 ft Population standard deviation, σ = 41.4 ft Let, X,…

Q: The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption…

A: Given,Mean μ = 9.6Standard deviation σ = 0.8

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.9 kg. Suppose…

A:

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.