suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and known variance is equal to 1 and me is found to be 10 and normal distribution was used to as a prayer for the mean and it was found that the posterior maine was 15 and posterior standard aviation was 0.1 what is the mean and standard deviation for prior

Q: suppose that a coin is to be tossed four times and let X represent the number of tails that can come…

A: Given: A coin is tossed four times. X represents the number of tails. The objective is to find…

Q: If a population has a mean of 228.8 and a standard deviation of 35.5 then a sampling distribution…

A: Given that, mean is 228.8 and standard deviation is 35.5. We will use z-standard normal…

Q: Suppose that you want to determine the number of people who will attend a conference this year. In…

A: Given information: The investigator wants to determine the umber of people who will attend a…

Q: Suppose that the mean value of interpupillary distance (the distance between thepupils of the left…

A: If repeated samples of same size is drawn in the population and the sample mean of these samples is…

Q: In 1999, the murder rates (per 100000) for the 50 states and the District of Columbia had a mean of…

A: Given mean is 5.9 and standard deviation 6.3 sample size is 5

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that thestandard…

A: From the given information,Population mean = 20.84 pounds,Standard deviation = 9.193 pounds,And…

Q: The times that college students spend studying per week have a distribution that is skewed to the…

A: Mean μ=8.9   σ=2.4sample size n=45   (greater than 30)Assuming n/N ≤0.05By central limit…

Q: Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size…

A: Given that, mean = 400 standard deviation =  24 n = 144

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: Suppose the age a student graduates from Salem State is Normally distributed. If the        mean age…

A: Given, mean = 23.1 Standard deviation = 3.1 We know, z = (x-mean)/std dev

Q: a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball…

A: The distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean (μ)…

Q: In the Chapter Problem, we noted that the safe load for a water taxi was found to be 3500 pounds. We…

A: Solution: Let X be the weight of the men. From the given information, X follows normal distribution…

Q: Suppose that the newborn weights are normally distributed with a mean of m kg and a standard…

A: We have given that  Mean(µ) = mStandard deviations (σ) = 0.8

Q: A university dean of students wishes to estimate the average number of hours students wish to spend…

A: The formula for the sample size is as follows:

Q: Suppose that the test scores follow a normal distribution with a mean 75 and a standard deviation…

A: Given,μ=75σ=15

Q: Researchers at a National Weather Center in the northeastern United States recorded the number of 90…

A: Given: Since, the value of Standard deviation is known, so Z-distribution is used for testing…

Q: Suppose it is known that the weight of a certain population of individuals are approximately…

A: Let, X=the weight of a certain population Given that X follows a normal distribution with mean=80…

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Suppose that in the population, exactly 58% of college students have TikTok accounts. If we select…

A: Given: n= 150 At 95.0 % confidence level , z score= 1.96 Here, Proportion of success in a…

Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: Suppose we know that the mean score among the population of college students taking the GMAT test is…

A: Solution-: Given: μ=1000,σ=1200,n=100 We find, P(we will observe a sample mean greater than 1200)=?…

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: For a group of 100 candidates the mean and standard deviation of their marks were found to be 60 and…

A: 1] n=100 2] X¯=603] Standrd deviation σ=154] σ2=225

Q: If this is sample data, the sample variance is v and the sample standard deviation is If this is…

A:

Q: Suppose that the height of LIU female students has normal distribution with mean 62 inches and…

A: Given data,μ=62σ=8P(X<x)=30.15%=0.3015x=?

Q: 3. Suppose that the student's standard test on a given year had a normal distribution with mean of…

A: Solution: Given data:  Mean = 800 Variance = 100 It follows  normal distribution

Q: A geologist is making guesses about the mean length of fossil teeth of a certain species found in a…

A: From the provided information,

Q: Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey…

A: Given Population mean=0.47 Population standard deviations=0.01

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: Suppose weights of running shoes have an unknown distribution with mean 11 and standard deviation 2…

A: The standard deviation from the sample mean distribution is obtained below: From the information,…

Q: A researcher believes that the mean age of medical doctors in a large hospital system is older than…

A:

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: Suppose you are told that the average return on investment for a particular class of investments was…

A:

Q: Suppose that the distribution for a random variable x is normal with mean 15 and standard deviation…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: the probability of drawing a sample with a mean of more than $115 is closest to _______.

A:

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: According to the given information, we have Mean = 35 Standard deviation = 8

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Suppose the statistics department at a large midwestern university has offered the same course in…

A:

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: Suppose we are told the sampling distribution developed from a sample of size 900 has a mean of…

A: Consider the variable of interest is X.

Q: Suppose it is known that the average score of all high school seniors taking a national test of…

A:

Q: on the test was 450 and the standard deviation was 50.  If the board wants to set the passing scores…

A: According to the sum, the board of examiners that administers the real estate broker’s examination…

Q: Suppose that the weights of people who work in an office building are normally distributed with a…

A: From the provided information, Mean (µ) = 165 lb Standard deviation (σ) = 25 lb X~N (165, 25)

Q: Suppose the scores of students on an exam are normally distributed with a mean of 444 and a standard…

A: We have to find limits that include 68% data.

Q: Suppose that a very large number of random samples of size 25 are selected from a population with…

A: Given, Sample size, n =25 Mean, μ = 300 Standard deviation, σ = 20

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.