A simple random sample of size n=18 is obtained from a population of student heights that is normally distributed with a mean of 68.9 inches and a standard deviation of 4.6 inches. Is the sampling distribution normally distributed? Why? O Yes, the sampling distribution is normally distributed because the population is normally distributed. O Yes, the sampling distribution is normally distributed because the population mean is greater than 30. O No, the sampling distribution is not normally distributed because the population is not normally distributed. O No, the sampling distribution is not normally distributed because the sample size is less than 30.

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.72…

A: Given that  Population Mean (\mu)(μ) = 2.722.72 Population Standard Deviation (\sigma)(σ) =…

Q: A large corporation employs 22125 individuals. The average income of all employees is S65398, with a…

A: Given: the average income of all employees is $65398 and standard deviation = 19195 50 randomly…

Q: In a certain region, the mean annual salary for HVAC contractors is $53,100. Let x be a random…

A: In a certain region mean annual salary for HVAC contractors is $53100. Therefore, μ = $53,100. Let X…

Q: A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard…

A: Given,sample size(n)=40population mean(μ)=20standard deviation(σ)=5

Q: Suppose that, based on historical data, we believe that the annual percentage salary increases for…

A: Given Information: Mean μ= 12.2% = 0.122 Standard deviation σ = 3.6% = 0.036 Sample size (n) = 9 To…

Q: For random samples of size n=16 selected from a normal distribution with a mean of 75 abd standard…

A: Given Information Mean µ = 75 Standard deviation(σ) = 20

Q: 1. In a study of annual salaries of employees, random samples were selected from two companies to…

A: Note: Hey, since there are multiple questions posted, we will answer first question for you. If you…

Q: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of…

A: Given,Population mean (μ) = 200Population standard deviation (σ) = 50Sample size (n) = 100.We know…

Q: Suppose a simple random sample of size n = 150 is obtained from a population whose size is N =…

A: Given that, n=150,p=0.2, and N =30000 (a) Check the conditions: Hence, both the conditions are…

Q: A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard…

A: Given, n = 40 μ = 20σ = 5       We have to check the given distribution follows normal distribution…

Q: A large corporation employs 18010 individuals. The average income of all employees is $92462, with a…

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

Q: A simple random sample of size n=16 is obtained from a population of student heights that is…

A: Here first option is correct i...e, yes, the sampling distribution is normally distributed because…

Q: According to a recent poll, 71% of adults who use the Internet have paid to download music. In a…

A: given information: n=750 p^=0.71 when sample size is large the distribution of sampling distribution…

Q: A Normal population has mean μ = 10 and standard deviation σ = 3.  Suppose a random sample of size n…

A:

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

A: Given information- Population mean, µ = 120,000 Population standard deviation, σ = 20,000 Sample…

Q: A random sample of size, nA = 3 is selected from population A, which has a standard deviation of 6.…

A: Solution: From the given information, nA=3, nB=17, standard deviation of A is 6 and standard…

Q: A large corporation employs 25030 individuals. The average income of all employees is $80607, with a…

A: The mean of all employees is $80,607.

Q: A simple random sample of size n=16 is obtained from a population of student heights that is…

A: A simple random sample of size  n=16 obtained from a population of student heights that is normally…

Q: Suppose a simple random sample of size n= 50 is obtained from a population whose size is N= 30,000…

A: Given,n=50p=0.4

Q: If random samples of size n are drawn from any population with a mean µ and standard deviation o,…

A:

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: Area .3521 Z= 4. In a sampling distribution, as n increases what happens to the standard deviation…

A: Solution:4.Sampling distribution: When many samples are drawn from the entire population then the…

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

A:

Q: A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard…

A: Given that the sample size=n=40 Since, n>30, so the sampling distribution follows a normal…

Q: he weights of men in a particular age group have mean u = 180 pounds and standard deviation o = 32…

A:

Q: The mean wage per hour for all 5000 employees who work at a large company is $27.50, and the…

A:

Q: A normally distributed population has a mean of 1,214 and a standard deviation of 122. (a) Find the…

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

Q: A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1. If the standard deviation of the mean for the sampling distribution of random samples of size 36…

A:

Q: Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60…

A:

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Given Sample size n = 14 Population is Normally Distributed with mean 43.5 minutes  Sample standard…

Q: While there is much debate, several health authorities have concluded that a vitamin D level of 30…

A: Using the given information.

Q: A simple random sample of size n= 40 is drawn from a population. The sample mean is found to be…

A: Givensample size(n)=40sample mean(x)=104.1standard deviation(s)=24.3 α=0.01

Q: A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard…

A: Given that the sample size is n=40. Since n>30, so the sampling distribution is normally…

Q: The number of years of education of self-employed individuals in the United States has a population…

A:

Q: 2. Suppose the random variable X is drawn from a normal population with mean fifty and standard…

A: Introduction: Define X as the random variable of interest here. It is given that X has a normal…

Q: oducts online. The shipping department manager claims that the average order shipped by their…

A:

Q: Suppose that a Math test has a mean score 81 with a standard deviation 10, and samples with size 100…

A:

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.76…

A: GivenMean(μ)=2.76standard deviation(σ)=0.04sample size(n)=10

Q: In the EAI sampling problem, the population mean is $51,400 and the population standard deviation is…

A: It is provided that the population mean is $51400 and the population standard deviation is $4000.The…

Q: A simple random sample of size n=10 is obtained from a population that is normally distributed with…

A: Given that the population is normally distributed. So for any value of n the sampling distribution…

Q: For random samples of size n = 25 selected from a normal distribution with a mean of mean of μ = 50…

A: Let X follows normal distribution with a mean of mean of μ = 50 and a standard deviation of σ = 20…

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

A: Given that, μ=20,σ=5,n=100 The mean and standard deviation of the sampling distribution of sample…

Q: Let x be a random variable representing the starting salary of a first-year teacher in a city. A…

A:

Q: Let x be a random variable representing the starting salary of a first-year teacher in a city.  A…

A: Given,sample size(n)=25sample mean(x¯)=$51,875standard deviation(S)=$1,055 degrees of freedom…

Q: A researcher wishes to see if the average number of sick days a worker takes per year is greater…

A: From provided information, claim that the average number of sick days a worker takes per year is…

Q: A researcher wishes to see if the average number of sick days a worker takes per year is greater…

A: Hypotheses:Let µ be the true average number of sick days a worker takes per year. The aim of the…

Q: It is believed that the mean value of a variable measured for an entire population of individuals…

A:

Q: 1. The scores of Grade 11 students in an achievement test in Mathematics are normally distributed…

A: Given,sample size(n)=16mean(μ)=65standard deviation(σ)=5

Q: The weights of people in a certain population are normally distributed with a mean of 159 lb and a…

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.