A sample of size 26 will be drawn from a population with mean 109 and standard deviation 35. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 95. th (c) If appropriate find the 90 percentile of x. (a) Is it appropriate to use the normal distribution to find probabilities for x? O Yes O No (b) The probability that x will be less than 95 is th ©The 90 percentile of x is

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

A:

Q: A sample of size 15 will be drawn from a population with mean 125 and standard deviation 28. a.…

A: a) sample size = 15 < 30 And it is not mention about the distribution of sample. So, It is…

Q: The distribution of wait times for customers at a certain department of motor vehicles in a large…

A: It is given that xw-bar is the sample mean wait time. The sample size is 50.

Q: 5) If X has a normal distribution with mean 1 and variance 4, the P(X²-2X<8)=?

A: Given data: If X has a normal distribution  mean=  1 and variance = 4 To find; P(X²-2X&lt;8)=?

Q: A population has a mean of μ=30 and a standard deviation of σ=8.If the population distribution is…

A: Obtain the standard z-score for the random variable M equals 34 The standard z-score for the random…

Q: Random samples of size 81 are taken from an infinite population whose mean is 66 and standard…

A:

Q: Under the system of floating exchange rates, the rate of foreign money to the U.S. dollar is…

A:

Q: If x represents a random variable with mean 118 and standard deviation 35, then the standard…

A: According to the given information, we have Mean = 118 Standard deviation = 35 Sample size = 49

Q: You are planning to conduct a 2-sample t-test to determine whether the mean of one normally…

A:

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

A:

Q: If x represents a random variable with mean 117 and standard deviation 40, then the standard…

A: Given : Mean , u = 117  standard deviation, σ = 40

Q: If a random variable X has the normal distribution with mean 9 and standard deviation 2, about what…

A: Given data, mean=9 sd=2 P(X&lt;5)=?

Q: For a normal population with a mean of μ = 80, and a standard deviation of σ = 10, what is the…

A:

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

Q: 1. Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the…

A: Solution: See the hand written solution

Q: A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this…

A: According to the provided information,

Q: If x represents a random variable with mean 132 and standard deviation 50, then the standard…

A:

Q: A sample of size 45 will be drawn from a population with a mean 10 and standard deviation 5. find…

A:

Q: Your company, Sonic Video, Inc., has conducted research that shows the probability distribution,…

A: As per our guidelines we are suppose to do only first question

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: Suppose that y is a random variable having a normal distribution with a mean equal to 250 and a…

A: Solution: It is given that the random variable y follows the normal distribution with mean and…

Q: If x represents a random variable with mean 124 and standard deviation 30, then the standard…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first…

Q: If the random variable X has a normal distribution with a mean 88 and standard deviation 12, then…

A:

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.5…

A: We know that if; Y~Binomial(n,p)Then the expected value of Y is;E(Y)=npand the standard deviation of…

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Mean = 17.4 Standard deviation = 1.2 Sample size = 48

Q: The distribution of wait times for customers at a certain department of motor vehicles in a large…

A: It is given that x-bar represents the sample mean weight time in minutes for a sample of 50 customer…

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.3…

A: Given that  The probability that a person exercises and eats well has a heart attack is predicted to…

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: If X has a normal distribution with mean 1 and variance 4, then P[X² - 2X ≤ 8]?

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: We have to find given probability..

Q: 3. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

A: Given mean μ = 215standard deviation σ = 15we need to calculate two parts of probability

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10, w hat is the…

A: Let X be the random variable and it follows the normal distribution with mean μ and standard…

Q: to take a simple random sample of size n from the production line. If he were to double his sample…

A: Chocolate bars produced by a certain machine are labeled 8.0 ounces. The distribution of the actual…

Q: If X follows a Normal distribution with a mean of 0 and a variance of 1. Calculate a) P(X>1.51)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

Q: A sample of size 52 will be drawn from a population with a mean of 18 and a standard deviation of…

A:

Q: 19. In a sample distribution, X = 56 corresponds to z = 1.00, and X = 47 corresponds to z = -0.50.…

A: The formula of z-score is, For X = 56 corresponds to z = 1.00, then the equation is,

Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

A: Given that µ=48 σ=18

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Given data,μ=100σ=10P(X&lt;81)=?

Q: In the EAI sampling problem, the population mean is  $51600  and the population standard deviation…

A: Solution: We are given that: The population mean is  $51600  and the population standard deviation…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A:

Q: A population has a mean of 30 and a standard deviation of 8; if the population distribution is…

A: Consider M be a random variable that follows a normal distribution with a mean of 30 and a standard…

Q: A. The average cost per household of owning a brand new car is 5,000. Suppose that we randomly…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.6…

A: It is given that n=19 and p=0.6.

Q: In the EAI sampling problem, the population mean is $71,300 and the population standard deviation is…

A: Z =x¯-μσn~ N(0,1)

Q: The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation…

A: Given Mean=1000 Standard deviation=350 N=50

Q: A normal distribution has a mean of µ = 40 with σ = 8. If one score is randomly selected from this…

A: A normal distribution has a mean of µ = 40 with σ = 8.

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.