he mean salary offered to students who are graduating from Coastal State University this year is $24,215, with a standard deviation of $3678. A random sample of 80 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 80 students is $24,500 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: The SAT math scores of a particular high school in New Jersey are approximately normally…

A: From the empirical rule we know that 95% of the observations falls in (µ-2σ,µ+2σ)  Where µ is the…

Q: The average per capita income for residents of Pennsylvania is $32,711 with a standard deviation of…

A:

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: Given data,

Q: You randomly select 25 teachers. What is the probability that their mean salary is more than $70000,…

A: Given thatRandomly select 25 teachersPopulation mean salary is 56000Standard deviation 15000To…

Q: A random sample of shoppers at a convenience store are selected to see how much they spent on that…

A: Standard deviation ,σ = 6.94confidence- level = 0.99So, level of significance = 1-0.99 = 0.01E =…

Q: are normally distributed with

A:

Q: The ACT math scores of a particular high school in New Jersey are approximately normally…

A: Given that 99.7% of the scores, centered about the mean, are between 200 points and 800 points. So…

Q: on or 2.5. a. Fill out the following curves for each distribution. Be sure to label your set of…

A: It is given that • For SAT verbal testMean = 460Standard deviation = 110• For ACT English test:Mean…

Q: A couple plans to have 14 children. Assume that girl and boy births are equally likely. Find the…

A: A couple plans to have 14 children. Assume that girl and boy births are equally likely.

Q: The population average annual salary for high school teachers in Alhambra is $61,244. A random…

A:

Q: Below represents the amounts that a random sample of employees reported that they spent on dinner…

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Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and…

A: We have given that  Mean(µ) = 7200Standard deviations (σ) = 1200 Number of days (n) = 30

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

A:

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Direction: Compute and Illustrate the distribution of the mean. 1. The average price of a computer…

A: Given,sample size(n)=27mean(μ)=789standard deviation(σ)=348

Q: A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4.…

A: Given datanormal distribution μ=79.3σ=7.4choose a random score less than or equal to this 0.0078we…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The question is about central limit theorem Given : Popl. mean mileage of a tire ( μ ) = 40097 miles…

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: An archer can either hit or miss his target. The probability of hitting a target is 60.0% . Suppose,…

A: Given data : Probability (p) = 0.60 Number of Attempts (n) = 19 Binomial to normal Approximation is…

Q: a. What is the distribution of ¤? ¤ - N( b. For the group of 12, find the probability that the…

A: a. The mean is 160, standard deviation is 22, and sample size is 12. The distribution of x¯ follows…

Q: An operation manager at an electronics company wants to test their amplifiers. The design engineer…

A: Obtain the probability that the mean amplifier output would differ from the population mean by…

Q: Find the indicated probability. The incomes of trainees at tthe local mill are normally distributed…

A:

Q: Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are…

A: Given that ; μ = $ 12837 ? = $ 1500 X = $ 17000 To find P( x < 17000) =  ? ?  P( x > 17000) =…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

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

A: It is given that the mean is 100 and standard deviation is 15.

Q: Assume that 11% of College students are left-handed. Suppose you randomly select 100 students and…

A: Given that n= number of observation= 100 p= probability of success= 11%=0.11 since each trial is…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The electric bills for all households in a large city have the normal distribution with a mean of…

A:

Q: The waiting time a customer spends in the airport luggage check-in is a random variable with mean…

A:

Q: The Powerball lottery jackpot has a winning probability of 1/189,000,000.  If you only consider the…

A: From the given information, Consider, X is the random variable that shows the net gain.  Pr(winning…

Q: in 2020, a sample of 12 monarchs had an average wingspan of 6.3 cm. this year a new sample of 12 had…

A: Given that  For year 2020 Sample size (n1)=12 monarchs  Sample mean=6.3 Population standard…

Q: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a…

A: Given,mean(μ)=67.7standard deviation(σ)=4

Q: A dice is rolled three times a. Find the probability of getting exactly 2 fours  b. Find the mean,…

A: Let X be a random variable from Binomial distribution with parameter n and p. Mean = np  Variance=…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

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.