We will take a sample size ​n=48 from a population with mean μ ​= 4.4 and σ ​= 0.5. The probability that x is less than a certain value is 0.05. What is that​value?

Q: A random sample of n = 25 observations is drawn from a population with mean 10 and standard…

A: Given, A random sample of n = 25 observations is drawn from a population with mean 10 and standard…

Q: Given the normally distributed random variable X with mean 100 and standard deviation 15, find the…

A:

Q: Let X be a random variable with a normal distribution.  The mean is given by (mu) = 85 and (sigma) =…

A: We have given that  Let X be a random variable with a normal distribution. The mean is given by (mu)…

Q: For a random variable that us normally distributed with mean equal to 1300 and standard deviation…

A: The sample mean has normal distribution with following parameters:

Q: A population has a mean of u = 30 and standard deviation sigma =8 a) if the population distribution…

A: Note: Hey there! Thank you for the question. As you have posted a question with more than 3…

Q: For a population with μ = 80, and σ = 20, the distribution of sample means based on a sample size of…

A: The expected value for the mean of .

Q: In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is…

A: Given that  a. What is the probability that is within $500 of the population mean if a sample of…

Q: Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 5.…

A: Given Data Population Mean,μ = 12 Population Standard Deviation,σ = 5

Q: Given a mean mu = 183.5 and standard deviation sigma = 72, for a sample of n = 36, what is the…

A: Given : μ = 183.5 , σ= 72 and n= 36 By Central Limit Theorem, x̅ follows a Normal distribution…

Q: A sample is selected from a population with µ = 46, and a treatment is administered to the sample.…

A: Given that  µ = 46,M = 48,s2 = 16 the value of Cohen’s d =?

Q: A simple random sample of size n=17 is drawn from a population that is normally distributed. The…

A: The random variable X follows approximately normal distribution. The sample size is 17. The sample…

Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…

A: Given:  Random variable x from normal distribution with mean mu=87 amd standard deviations=6  Then…

Q: Suppose x has a distribution with mean =23 and standard deviation =17.           Part b).   If a…

A: Given : μ = 23 , σ= 17 and n= 68

Q: Suppose a simple random sample of size n=75 is obtained from a population whose size is N = 15,000…

A: Given data n = 75, N = 15,000 p = 0.4 Probability of obtaining x = 33 or more individuals with the…

Q: Given a random variable X that is distributed Normally with a mean of 94 and a standard deviation of…

A:

Q: Given a Normally distributed population with a mean of 175 and a standard deviation of 40 find x…

A:

Q: The probability distribution of a discrete random variable x is shown in the following table: x 1 2…

A: E(X)=∑Xi P(X)E(X)=1×0.22+2×0.22+3×0.37+4×0.05+5×0.14E(X)=0.22+0.44+1.11+0.2+0.7E(X)=2.67

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

A:

Q: 5. Suppose the random variable X is uniformly distributed on the interval [0, 12]. The probability…

A: Given :  Suppose the random variable X is uniformly distributed on the interval [0, 12].  If X is a…

Q: In a hypothesis test for H0: μ1 = μ2 vs Ha: μ1 > μ2, we have a sample with x̄1 =26, x̄2 =21. Will…

A: Solution:  To test the hypothesis  Ho:μ1=μ2       VS   Ha:μ1>μ2 x1= 26 x2=21

Q: The following null hypothesis is being tested: Ho: µ < 150 Assume that the population standard…

A: Solution-: Given :μ=160,μ0=150,n=100,σ=30,α=0.01 Hypothesis: H0:μ=μ0=150 Vs H1:μ&lt;150 We find the…

Q: 2. Suppose a random variable X is normally distributed with a mean of 5 and a standard deviation of…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: Suppose X is a normal random variable, and E(X) = 2. Find the probability that X will be within 2…

A: Suppose X is a normal random variable, and E(X) = 2.

Q: A random sample of size 200 is taken from a population with a proportion of male 0.65. Therefore,…

A: Given information- Sample size, n = 200 Population proportion of male, Pm = 0.65 So, population…

Q: Given that z is a standard normal random variable, find z for each situation (to 2 decimals). The…

A: In this case, we need to find the z score values for the given areas.

Q: Suppose the population mean is 20 and the variance is 25. If a sample of size 100 is drawn from this…

A:

Q: 1. Given that X is a normal random variable with the mean of 15 and standard deviation of 3, compute…

A: We have given that a random variable X that follows normal distribution with mean 15 and standard…

Q: Given a normally distributed random variable with a mean of 196 and a standard deviation of 20, find…

A: In this context, it is given that X follows normal distribution with a mean of 196 and a standard…

Q: If a random variable X has the normal distribution with mean μ = 80.0 and standard deviation σ = 4.8…

A: Given, random variable ‘X’ has normally distributed with mean 80.0 and standard deviation 4.8.(i)The…

Q: a sample is selected from a population with a mean of u=65 and a standard deviation of o=15. if the…

A: Given that, A sample is selected from a population with a mean of μ=65 and a standard deviation of…

Q: f the maximum error with 0.99 probability is 0.25 and a sample size 400, then the standard deviation…

A: Maximum error=Margin of error=0.25 Sample size; n=400 α=0.01

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: A simple random sample of size n=14 is obtained from a population with μ=67 and σ=19.   Assuming…

A: From the given information, Consider,  Sample size (n) = 14 Population with μ=67 and σ=19. Thus,

Q: 3. For a population with µ = 80 and o = 20, the distribution of sample means based onn = 16 will…

A:

Q: q14- If the random variable X is normally distributed with a mean of 75 and a standard deviation of…

A: Option D is correct.

Q: For a two-tailed test at 99% confidence based on a sample of size 20 with unknown population…

A: Given: n=20. Since, population standard deviation is not known, use t-test. Then,Degrees of…

Q: 1. A sample of size 95 will be drawn from a population with mean 25 and standard deviation 10. Find…

A: We have given that,  X is random variable are normally distributed with mean(mu) = 25 and standard…

Q: In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is…

A:

Q: Find the following probabilities based on the standard normal variable Z. P(Z>1.32)

A: Given information- We have given that- P (Z &gt; 1.32) We have to find the probability for the given…

Q: Suppose X is a random variable of a normal distribution with E(X)=2 and Var(X)=4. Find P(X<4)

A:

Q: A random sample of n=4 is obtained from a population with a mean of u=80 and a standard deviation of…

A: It is given that the, A random sample of n=4 is obtained from a population with a mean of u=80 and a…

Q: The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4…

A: mean=expected value=E(X)=∑xP(X)

Q: Let X be a random variable with expected value E(X) = 1 and variance Var(X) = 4. Find E(3X +2) and…

A: From the provided information, E (X) = 1 and Var (X) = 4

Q: Suppose X is a random variable distributed with mean u and standard deviation ơ > O. If the random…

A:

Q: A population is normally distributed with mean 37.8 and standard deviation 2.5. Find the following…

A: It is highly useful in statistics . It is an application of probability distribution .

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

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 null and alternative hypothesis would be: Ho: PN PD Ho:N ≤D Ho: PN ≥ PD H₁: PN > PD H₁: μN > HD…

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.