12) The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of σ=$5000. What is the probability that the mean salary of a random selected sample has between $49,000 and $56,150? P(49000 < x < 44215) = P(−1 < z < 0.43) = Answer  There is a ______% chance that the mean salary of a random sample of 100 is between $49,000 and $56,150.

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A:

Q: The ages of a group of 129 randomly selected adult females have a standard deviation of 16.3 years.…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

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

Q: Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of…

A: Given: Assume a standardized IQ test exists that possesses a normal distribution and has a mean…

Q: 1. The nicotine content of a certain brand of king size cigarette has a normal distribution with a…

A:

Q: "Ch6. Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let Xi be the random variable representing the time taken by the ith transport time. Here, Xi has…

Q: he lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation…

A:

Q: Waiting time for all passengers waiting for the arrival for an Amtrak train follows a uniform…

A: Given,A random variable X~U(10,46)with mean=28standard deviation=10.4

Q: Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard…

A: Given that  Suppose that an airline uses a seat width of 16.3 inch Men have hip breadths that are…

Q: Previous studies showed that the lifetime of solar panels is normally distributed with a mean of 27…

A: Mean is 27 and a standard deviation is 3.  Sample size 10.

Q: If n=7 (days campus is open) and p=0.22 (the probability that a student is on campus on any given…

A: n=7, p=0.22 X~ B(n=7, p=0.22) Mean=E(x)=np  Variance=np(1-p) Standard deviation=√variance

Q: Suppose that chemistry exam scores gre normally distributed with a mean of 24 and a standard…

A:

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

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: n a random sample of 9 cell​ phones, the mean full retail price was ​$523.90 and the standard…

A: Step 1: Givenn=9,xˉ=$523.90,σ=$189,μ=$432.24 Step 2: Compute the value of the test statistic.The…

Q: The amount of time that a customer spends waiting at an airport check-in counter is a random…

A:

Q: height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a…

A: Here is given that mean is 71 inches and standard deviation is 4 inches. 6 ft is equal to 72 inches.

Q: The average salary of a registered nurse in a certain state is 73 thousand with a standard deviation…

A: Solution: Given information: n=41 Sample size  μ=73 POpulation mean σ= 14.2 Population standard…

Q: Let X and Y has joint density as (4xy, f(x,y) = 0<x< 1,0 <y<1, elsewhere. 0, (a) Find the marginal…

A: Marginal probability distribution is given as follows for the joint probability function :

Q: Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally…

A: Answers are (a)  0.0281   (b)  0

Q: A ski resort claims that there is a 75% chance of snow on any given day in January and that snowfall…

A:

Q: normally distributed with a mean of $39,269 and a standard deviation of $2,550. The probability…

A:

Q: A population of 2,800 students from a certain region have normally distributed National Examination…

A: Mean(μ)=85 Standard deviation(σ)=5

Q: 2. The average hourly wage for an employee without a high school diploma or technical certification…

A: mean = 8.45 s = 0.3

Q: The average weekly earnings of a chef is $940 with a standard deviation of $40. Assume that we…

A: SE = σn

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: normal distributionμ = 105σ = 20P(93&lt;x&lt;117) = ?

Q: A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week…

A: The variable X be the number of days per week that a randomly selected client uses the exercise…

Q: Suppose that a population has a mean of 3 with a standard deviation of 1.25. Suppose a sample of…

A:

Q: Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A…

A: The sample size n is 100 and the standard deviation is 40.

Q: What is the probability that there is equipment damage to the payload of at least one of five…

A:

Q: Explain whether one (or both) of the situations for the approximate normality of the sampling…

A: The question is asking to determine whether the sampling distribution of the mean will be…

Q: You make an investment. Assume that annual returns are normally distributed with a mean return of…

A: Given Information: Mean μ=0.05 Standard deviation σ=0.20

Q: 1. Consider a Normal Distribution of Mean = 50 and Standard Deviation of 10. A. Find the Z-score of…

A: Let X be a normally distributed random variable with mean μ=50 and standard deviation σ=10.…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Given Information: IQ scores are normally distributed with a mean of μ=100 and a standard deviation…

Q: Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard…

A: Given that: X is normally Distributed with mean µ = 50.0 and standard deviation σ = 1.6 By using…

Q: Given a normal distribution (x) with mean = 100 and standard deviation () = 10what is the…

A: Given,μ=100σ=10P(X&lt;81 or X&gt;101)=?

Q: Assume that math test scored are normally distribution with a mean of 200 and a standard deviation…

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: Suppose that chemistry exam scores are normally distributed with a mean of 24 and a standard…

A: Let X denote exam scores. Given that X follows N(mean = 24, SD = 4)

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…

A: Given that, Let X is the length of a professor’s classes has a continuous uniform distribution…

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.