Assume that for the population of all unemployed individuals in Minnesota, the population mean length of unemployment is 36 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 56 unemployed individuals for a follow-up study. Find the probability that the mean of this sample of size is more than 36.9. Round your answer to at least three decimals.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: The U.S. Department of Transportation provides the number of miles that residents of the 75 largest…

A:

Q: A large population has a mean of 60 and a standard deviation of 8. A sample of 50 observations is…

A: GivenMean(μ)=60standard deviation(σ)=8sample size(n)=50

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: A particular fruit's weights are normally distributed, with a mean of 771 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…

Q: imagine we have 4 observations. the values lie  0 - 25 (inclusive, and repeats are allowed).  What…

A: Solution-:We have 4 observations. the values lie  0 - 25 (inclusive, and repeats are allowed).  What…

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let  denote the student score receive in the final exam.The random variable  follows a normal…

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: population has a mean of 350 and a standard deviation of 25, determine the probability that a random…

A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?

Q: In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose that the distribution of the scores of students in Statistics Assignment 1 is roughly…

A: GivenMean(μ)=85standard deviation(σ)=5sample size(n)=16

Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: The population mean for the average weigh of 12 year old children is 102 pounds and the population…

A: Solution: Let X be the weight of 12 year old children. From the given information, µ=102 pounds,…

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: |(a) What are the null hypothesis Ho and the alternative hypothesis Hj that should be used for the…

A: Test is that whether the mean weight of babies is greater than 7.2 pound. The type I error is…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: GivenMean(μ)=8.4standard deviation(σ)=1.8sample size(n)=38

Q: According to the Bureau of Labor Statistics, the average number of weeks an individual is unemployed…

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: According to a company’s website, the top 33% of the candidates who take the entrance test will be…

A: It is given that the mean is 74 and standard deviation is 6.

Q: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

A: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

Q: r a standardized psychology examination intended for psychology majors, the historical data show…

A: Given: The corresponding z score can be calculated as: The distribution will be normal as the…

Q: Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8…

A: Given that  Mean = 8 Standard deviation = 2 Find P(X = 8 )

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: The population mean is 20 inches and population standard deviation is 4 inches. A random sample of…

A: mean = 20 s =4

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A population has a mean of μ = 40. If 5 points are added to each score, what is the value for the…

A: Let a population has n units,X1,X2,....,Xn.Then the total sum of the population is S=X1+X2+...+Xn.…

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

Q: students has an average of 300 dollars and a standard deviation of 1,000. Suppose that we take a…

A: It is given that the random variable X i.e, the amount of money in savings accounts follow normal…

Q: For a random sample of  70  overweight men, the mean of the number of pounds that they were…

A: given data  n = 70 x¯ = 28 poundsσ = 3.8 poundsbest point estimate for population mean  = ?

Q: A leading magazine reported at one time that the average number of weeks an individual is unemployed…

A: We have given that  X~N(mu,sigma ^2) mu=29 ,sigma =3.5 Z-socre =(x-mu)/sigma

Q: Suppose the average credit card debt for Americans is $7000 and is not normally distributed with a…

A:

Q: The grades for the latest statistics exam are normally distributed. The mean was 93 with a standard…

A: According to question given that Mean (μ)=93Standard deviation (σ)=4As we know that relation between…

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

A:

Q: A population of scores has u=55 and o=15.  if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…