A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is OA 0.9772 O B. 0.5228 C. 0.0228 OD. 04772

Q: A population has a mean of 80 and a standard deviation of 8. Arandom sample of size 75 is selected.…

A: Solution: Let X be the random variable. From the given information, µ=80, σ=8 and n=75.

Q: Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X < x) = 0.022.…

A:

Q: If the average yield of a dunum of yellow corn is 800kg, with a standard deviation of 40kg Assuming…

A: Given,mean(μ)=800standard deviation(σ)=40

Q: Based on previous studies of school children who were vaccinated and contracted the flu, the time in…

A: As per our guidelines we can solve first multiple-choice question and rest can be reposted.…

Q: A study indicates that the weights of adults are normally distributed with mean of 72 kg and a…

A: Given data,μ=72σ=8P(65&lt;X&lt;77)=?

Q: The long-distance calls made by South Africans are normally distributed with a mean of 16.3 minutes…

A: Given,mean(μ)=16.3standard deviation(σ)=4.2

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and…

A: Given that.   X~N( μ , ?^2 )   μ=30000    , ?=6000   Z-score =( x - μ )/?

Q: The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation…

A: Given  Mean = 1000 hrs Standard deviation = 50 hrs To calculate probability for X &gt; 1150 hrs

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A:

Q: In a two - tailed test, given that the population mean is 40 with a standard deviation of 2.5. A…

A:

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

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Q: Suppose that the average amount of ice cream that children eat at birthday parties is 3.6 oz, with a…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A quart of Parker's milk contains a mean of 39 grams of butterfat, with a standard deviation of 2…

A: Mean = 39 Standard deviation = 2

Q: Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what…

A: Given that, Mean = 10 Standard deviation = 5

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A: Random variables are of 2 types, discrete and continuous, a normal distribution is a continuous…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

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Q: The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15.…

A: Consider X be a random variable which follows normal distribution indicating the IQ scores of…

Q: Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A: Obtain the Z-score for the random variable that X equals 70. The Z-score for the random variable…

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: As per our guidelines we are suppose to answer only one question.

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X&lt;44)=?

Q: Suppose a company produces lightbulbs with a mean lifetime of 1000 hours and a standard deviation of…

A: Given that, Mean= 1000 And standard deviation, sigma= 50 We know that, Z Score= (X-mu)/sigma

Q: A midterm exam has a mean of 76.0 and a standard deviation of 8.0. If any student with a z-score of…

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Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 130, standard…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given,mean(μ)=8.4standard deviation(σ)=1.8sample size(n)=40

Q: The daily number of eggs produced by an egg processing machine is normally distributed with a mean…

A:

Q: The commuting time for a student to travel from home to a university campus is Normally distributed…

A: Let X be the commuting time for a student to travel from home to a university campus is Normally…

Q: A test has a mean score of 150 and a standard deviation of 12. Scores are normally distributed. What…

A: Let X denote the test score and follows normal distribution with mean of μ=150 and standard…

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A: It is given that the mean is 80 and the standard deviation is 7.

Q: In a given year, the average annual salary of an NFL football player is $189,000 with a standard…

A:

Q: The heights of strawberry plants are Normally distributed with a mean of 12 inches and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

A: Let "X" be the raw score.

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 12.…

A:

Q: Ten years after graduation, the salaries of Heriot-Watt University graduates are Normally…

A: Given that.   X~N( μ , ?^2 )   μ=55000    , ?=11000   Z-score =( x - μ )/?

Q: Assuming you obtained a random sample of blood glucose levels from 32 individuals from a population…

A: It is given that the mean is 120 and the standard deviation is 15.

Q: 3. Assuming you obtained a random sample of blood glucose levels from 32 individuals from a…

A: It is given that the glucose levels are normally distributed with mean 120 and standard deviation of…

Q: The number of pages produced by a fax machine in a busy office is normally distributed with a mean…

A: Normal distribution

Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 and a standard deviation of…

A: we have given that mu=1662 ,sigma =302 , n=50  X~N(mu=1662 , sigma^2=302^2) X is a normally…

Q: If X is a normally distributed random variable with a mean of 235 Find the standard deviation given…

A:

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A: Given Data: Let X represent the random variable Mean=180 SD=24 n=64

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A health study reported​ that, in one​ country, systolic blood pressure readings have a mean of 122…

A:

Q: For a population with a mean of μ= 40 and a standard deviation of σ= 6, find the z-score…

A: From the provided information, Population mean (µ) = 40 Standard deviation (σ) = 6 a) Sample size…

Q: A normal population has a mean μ = 32 and standard deviation σ = 10. What is the probability that a…

A: Solution-: Let, X= be the random variable Given: We find,

Q: The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard…

A: Given data: The given mean is xm=0.9 inch. The given standard deviation is σ=0.02 inch. The given…

Q: The average weight of insects for a laboratory experiment is 13.2 g with a standard deviation of 0.8…

A: It is given that μ=13.2 and σ=0.8 The insect weighs at most 14 gram is given by:…

Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

A:

Q: Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:…

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Q: It is reported that a survey had a standard error of the mean of 20, and it is assumed that the…

A: Given information- Population standard deviation (σ) = 500 Standard error of the mean (SE) = 20 We…

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.