In a given year, the average annual salary of a cricket player was $205 000, with a standard deviation of $24 500. If a simple random sample of 50 players is taken, what is the probability that the sample mean will be less than $210 000?

Q: The examination results of a large group of students in statistics are approximately normally…

A: Formula : Z =(X - μ)/σ

Q: In a study of births in 2007, it was found that 51% were male and 49% were female. If 100 people are…

A: Given that there are 51% are male and 49% are female & if 100 people selected randomly we have…

Q: A company providing mobile phone service plans has a list of phone numbers for their 125,000…

A: Given: x¯=10 s=8n=256

Q: According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about…

A:

Q: - To estimate a population mean, the sample size needed to provide a margin of rror of 2 or less…

A:

Q: If the mean of a Binomial distribution is 5, which is the most likely value for its standard…

A: Answer :- Mean of binomial Distribution  = np = 5 Standard Deviation of binomial Distribution =

Q: According to a 2017 Wired magazine article, 40% of emails that are received are tracked using…

A: a. Let the variable X is defined as the number of emails that are tracked which follows binomial…

Q: n a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given that, Mean = 22.9 Standard deviation = 6.7

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

A:

Q: In a negatively skewed distribution of scores, what is the probability of sampling a z-score less…

A: We have to find the probability that In a negative skewed distribution , z-score is less than 1 .…

Q: Given that the length an athlete throws a hammer is a normal random variable with mean 50 feet and…

A:

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, There is…

A: Given data: Mean = 103 Standard deviation  = 15 Sample size = 9

Q: In a region the energy consumption for a family per month averages 1145 kWh and one 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: If an entire population with μ = 60 and σ = 8 is transformed into z-scores, then the distribution of…

A: If an entire population with μ = 60 and σ = 8 is transformed into z-scores, then the distribution of…

Q: At a certain bank, the mean checking account balance is ?=?150 and the population standard…

A: Given data: Mean = 150 Population standard deviation = 70 Sample size = 450 To find:  (i) Between…

Q: If a random variable is standardized (by subtracting the mean and divided by the standard…

A: If X~N(μ,σ2) mean=μ, variance=σ2 Let, Y=X-μσ Then, mean =E[X]-μσ=μ-μσ=0 Variance =1σ2Var(X)=1σ2·σ2=1…

Q: Given a normal distribution with μ=101 and σ=25​, and given you select a sample of n=25​, What is…

A:

Q: Again, suppose we are now interested in taking random samples of 800 US adults instead of 150 and…

A: We know that,  Proportion p= X/n Where n is sample size.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches,…

A: Given : Let X be a r.v X : Length of items (in inches)  Mean (μ) = 9.6 S.D (σ) = 1.8

Q: A company providing mobile phone service plans has a list of phone numbers for their 125,000…

A:

Q: If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find…

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

Q: The cafeteria records that 67% of students buy pizza with a standard deviation of .03 If you took a…

A: Given: p=67% and σ=0.03. Now, if a sample of 100 is taken, then standard deviation of sample will…

Q: Given a mean price of a residential real estate sales of KD 527,000 and a standard deviation of KD…

A: To find the probability of: a) having a sale above KD 550,000 b) having a sale below KD 527,500

Q: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth…

A: From the given information, the null and alternative hypotheses are: Null hypothesis: H0: μ ≤…

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Mean = 50 Standard deviation = 10 Sample size, n = 25

Q: here is a 61​% chance that x̄ is above what​ value?

A: Let , X→N(μ=101 , σ=25) , n=25 By using central limit theorem , The sampling distribution of the…

Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: It is given that the gas mileage for a hybrid car is normally distributed mean 56 and standard…

Q: The number of suits sold per day at a retail store is shown in the table, with the corresponding…

A:

Q: A company providing mobile phone service plans has a list of phone numbers for their 125,000…

A: Given the following information, Sample size, n = 256 Sample mean, x=10 Sample standard deviation, s…

Q: Given a normal distribution with μ=50 and σ=4​, and given you select a sample of n=100​,   There…

A:

Q: The probabilities that a person is receiving a chat message 0, 1, 2, 3, 4, or 5 per day are the…

A: Let X be the random variable having probability distribution is,  X 0 1 2 3 4 5 P(x)  0.08 0.19…

Q: For a given sample data set composed of 26 observations and E(x-x)2 225, then the standard deviation…

A:

Q: Newborn elephant calves usually weigh between 200 and 250 pounds-until October 2006, that is. If,…

A: Given  μ=225, σ=45,  P(280<X<350)= ?  Note: This probability value calculate from standard…

Q: Given a normal distribution with µ= 100 ando = 10, if you select a sample of n = 25, what is the…

A: Given a normal distribution with μ=100 and σ=10. X~N(μ=100, σ2=102)n=25

Q: For a sample of n = 100, what is the standard deviation of the binomial distribution with p = .20…

A: Given : It is asked to find the of n = 100 With the given standard deviation p = 0.20 and q = .80

Q: Given a normal distribution with μ=45 and σ=5​,   What is the probability that X<40​?   ​P(X<40​)=

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 5 X~N (45, 5)

Q: Suppose you sample one value from a uniform distribution with a = 0 and b = 20. a) What is the…

A: Let the random variable X follows uniform distribution on interval [a = 0, b= 20]   The PDF of…

Q: The number of adults living in homes on a randomly selected city block is described by the following…

A: Formula Used: Standard deviation σ = SD(x) =  Var(x) Where, Var(x) = variance of x Var(x) =…

Q: It is known that the distribution of the Wechsler Adult Intelligence test is n 130, and the standard…

A: Given, Mean (μ)= 130 Standard deviation (σ)=15

Q: Given a normal distribution with µ = 50 and σ = 4, if you select a sample of n = 100, there is a 45%…

A:

Q: Given a normal distribution with μ=50 and σ=4​, and given you select a sample of n=100​, What is…

A: Given : μ = 50σ = 4n = 100

Q: Suppose that we will take a random sample of size n from a population having mean and standard…

A: Here given sample size , population mean and population standard deviation from which calculating…

Q: 4. According to a 2019 Federal Reserve report, 54% of U.S. young adults who went to college took on…

A:

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, What is…

A: GivenMean(μ)=103standard deviation(σ)=15sample size(n)=9

Q: The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution…

A: From the provided information, Mean (µ) = $78,000 Standard deviation (σ) = $11,000 Let X be a random…

Q: A random sample of 12 students showed the following time (in hours) of sleep 4.5 5 5.5 6 6 7 7.5 7.5…

A:

Q: Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n=16​, What is the…

A: Solution: From the given information, X follows normal distribution with mean µ=100 and a standard…

Q: Given a normal distribution with μ=45 and σ=5​,     What is the probability that X>37​?…

A:

Q: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth…

A: From the given information, the null and alternative hypotheses are: Null hypothesis: H0: μ ≤…

Q: c. What is the probability that exactly ten of the 45 luxury cars sold are silver? d. What is the…

A: It is given that n=45 and p=0.191.

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.