Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution.   The mean price of photo printers on a website is ​$227 with a standard deviation of ​$68. Random samples of size 21 are drawn from this population and the mean of each sample is determined.

Q: Given a normal distribution with a mean of 150, and a standard deviation of 7.5, find the value of a…

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

Q: The annual salary for one particular occupation is normally distributed, with a mean of about…

A: The mean is 131,000 and the standard deviation is 17,000.

Q: Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of…

A:

Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: use the given information to find the minimum sample size required to estimate an unknown population…

A: Standard Deviation = σ = 89 Margin of Error = E = 5 Confidence Level = 95 Significance Level =…

Q: Let X denote the lifespan for a randomly selected fly. Suppose the mean and the standard deviation…

A: let X: the lifespan for a randomly selected fly  and mean of X=E(X)=μ=25 days    standard deviation…

Q: Suppose the total snowfalls per year in a city are normally distributed. If the population standard…

A:

Q: Use the Central Limit Theorem  to find the mean and standard error of the mean of the indicated…

A: Let , X→N(μ=1060 , σ=200) , n=30 By using central limit theorem , The sampling distribution of the…

Q: A sample of the number of sick days used by employees at a clinic is as indicated: 0,    0,    1,…

A: Given data 0,0,1,1,2,4

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Let z scores are normally distributed with mean of μ=0 and standard deviation of σ=1 The value of b…

Q: At Intel, the sizes of processor chips have a mean of 1 cm with a standard deviation of 0.2 cm.…

A:

Q: The mean and standard deviation of a population are 200 and 20, respectively. Suppose samples of…

A: Given : μ = 200 , σ= 20 and n= 36

Q: average heigth is 163 cm, standart deviation is 10 cm. compute p(X>168 cm) ?

A: Given,μ=163σ=10P(X>168)=?

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P…

A: Obtain the value of b. The value of b is obtained below as follows:

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table below…

A: Find s.d =?

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Given Data: z follows the normal distribution Mean=0 SD=1

Q: Assume the average income of workers in jordan equal 400 JD, a sample of 500 workers are taken and…

A: Given: Average income of workers in jordan = 400 Sample size n=500 sampling error is 10. standard…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(–…

A: Given X is normally distributed X ~ N(0,1)

Q: Use the given information to find the minimum sample size required to estimate an unknown population…

A: Margin of error, M.E = $500 Confidence level (α) = 95% σ =$1500

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A:

Q: Assume that women's weights are normally distributed with a mean given by ?=143 lb and a standard…

A: We have to find probability using z table.

Q: Consider a data set that has a mean of 20.3 and a standard deviation of 6.4. According to…

A: Given information- Population mean, µ = 20.3 Population standard deviation, σ = 6.4 We have given…

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: for a population with a standard deviation of 10 and mean of 100, draw a bell shaped curve, marking…

A: We have to draw bell shaped curved and marking location of the mean and standard deviation..

Q: t is the least percentage of data that falls within 2.5 standard devia

A: This Chebyshev's theorem can be applied to any type of distribution. To use Chebyshev's theorem, it…

Q: Assume that the distribution of an employee selection test is normally distributed with a mean of 82…

A:

Q: Consider a data set that has a mean of 33.7 and a standard deviation of 6.8. According to…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: For a sample of size 5, if x -x=-5, x, -X =9, x, -X =-7, and x, -x -2, then the sample standard…

A: Given: data n =5 to find : sample standard deviation     value (xi -x)2 x1- x -5 -52 = 25 x2…

Q: The mean rate for satellite television for a sample of households was $49.00 per month, with a…

A: From the provided information, Mean (x̅) = $49.00 Standard deviation (s) = $2.50 Confidence level =…

Q: The average charitable contribution itemized per income tax return in Pennsylvania is $795. Suppose…

A: We have given that the mean μ = $795 and standard deviation σ = $106 The limit for middle 50% of…

Q: distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile

A: We have given that, Population mean (μ) = 55 and standard deviation (σ) = 4 Then,  We will find the…

Q: Suppose I am using the t-distribution to estimate or test the mean of a sample from a single…

A: Given that They are using t-distribution . Sample size (n) = 25   We know that  Degrees of freedom…

Q: The weights of bunches of bananas in the grocery store are Normally distributed with a mean weight…

A: ANSWER: Using the given data,

Q: In general, the standard error of the sampling distribution is __________the standard deviation from…

A: We know that, Standard error is given by, SE= sigma/√n Where sigma is standard deviation and n is…

Q: he annual salary for one particular occupation is normally​ distributed, with a mean of about…

A: Given Data: μ=122000σ=22000   n=34   We know that, X¯~ Normal μ, σ2n

Q: One measure of skewness of a distribution is defined by q=

A: Given information: Given that the three quartiles of the data are Q1, Q2 and Q3.

Q: Use the given information to find the minimum sample size required to estimate an unknown population…

A: Determine the sample size n needed. Obtain the critical value of z at the 95% confidence level.…

Q: Suppose that the distance of fly balls hit to 268 feet and a standard deviation of 43 feet a. What…

A: Given Data Population Mean,μ = 268.0 Population Standard Deviation,σ = 43.0

Q: Find the mean deviation about the A.M. of each of the following distributions…

A: Given: N = 10 Distribution: 70, 65, 68, 70, 75, 73, 80, 70, 83, 86 Now, Mean…

Q: If P(−b<z<b)=0.206P(-b<z<b)=0.206, find b.

A: Let ' z ' be a Random variable following standard Normal distribution. i.e Z~N(0,1)To calculate:…

Q: the maximum value of a distribution is 47.5 and the minimum value is 4.0 what is the estimated…

A: Given : Lower limit,a = 4 Upper limit,b = 47.5

Q: Use the given information to find the minimum sample size required to estimate an unknown population…

A:

Q: Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a…

A: Z-score corresponding to a normal variable value X is      (X-mu)/sigma Where,      X = normal…

Q: A research worker wants to determine the average time it takes a mechanic to rotate the tires of a…

A: Given: Level of significance = 0.05 Time = X X follows normal distribution  standard deviation = 1.2…

Q: The mean weight of 1000 students at a certain high school is 140 pounds and the standard deviation…

A: Assuming that the weights are normally distributed.

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately…

A: Mean(µ) = 858 Standard deviations (σ) = 54 Sample size (n) = 50 X ~ N (µ, σ )= N ( 858, 54) x̅~ N…

Q: Use the normal distribution of IQ​ scores, which has a mean of 75 and a standard deviation of 11​,…

A: GivenMean(μ)=75standard deviation(σ)=11

Q: Assume the population of 5 year children in the U.S. have a population mean weight of 44 lbs. with a…

A: Given data: Mean = 44 lbs Population standard deviation =2.89 lbs Sample size = 35 To find: What…

Q: Consider a data set that has a mean of 16.8 and a standard deviation of 5.6. According to…

A: Given,          Mean μ =16.8          standard deviation σ=5.6    given interval has atleast 93.7%…

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.