Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $31,000 and a standard deviation of $3,000. (show all work) a) Find the probability that the mean salary of 100 randomly selected elementary school teachers in the United States is less than $30,500. b) Find the probability that the mean salary of 50 randomly selected elementary school teachers in the United States is greater than $31, 800. c) Find the probability that the mean salary of 80 randomly selected elementary school teachers in the United States is between $30,000 and $32,000

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…

A: Let "X" be the IQ score of the adults.

Q: According to Nielsen Media Research 30% of televisions are tuned in to the NFL Monday Night Football…

A: Note: Thanks for posting the question, in subparts (b) and (c), “exactly 5 or the 15 televisions” is…

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Q: hotel in a European city follows a normal distribution with a mean of 170 euros and a standard…

A:

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Solution: Let X be the salary for workers at a company. From the given information, X follows normal…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: GivenMean(μ1)=4.0Mean(μ2)=4.0standard deviation(σ1)=2.5standard deviation(σ2)=2.5sample…

Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…

A: We have to find out given probability..

Q: The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per…

A: given data  W.H.O. minimum calories = 2600 μ = 2460σ = 500n = 49P(x¯ >2600) = ?

Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.

A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…

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

A: Given information:

Q: Based on Aircraft Safety Council of Country PQR, an average of 18 aircraft accidents occurred each…

A: Given,an average aircraft accidents occurred each year is 18so an average aircraft accidents…

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: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24…

A: Mean = 2.24 Standard deviation = 1.3 Sample size = 95

Q: Gestation length (in days) of a dog forms a normally distributed data set with mean 66 and standard…

A:

Q: The monthly utility bills in a city are normally distributed with a mean of $100 and a standard…

A:

Q: find the mean and standard deviation of the number of heads obtain

A: Let q be the probability of obtaining tail and p be the probability of obtaining head. Probability…

Q: Recent report in Times showed a typical family of four spends $490 per month on food with a mean of…

A:

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Given  Mean = 60000 Standard deviation = 9000 Sample size = 36 Z score formula = (x -mu)/s/√n

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is…

A: Given Data Population Mean,μ = 269 Population Standard Deviation,σ = 15

Q: A study indicates that 18- to 24- year olds spend a mean of 120 minutes watching video on their…

A: The mean is 120 minutes and the standard deviation is 20 minutes.

Q: Assume the credit card balances of younger college educated employed persons are normally…

A:

Q: 42) The lengths of pregnancies are normally distributed with a mean of 270 days and a standard…

A: According to the given information in this questionWe need to answer two parts

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: a)   The probability that the weight is between 150 lb and 211 lb is 0.5598 and it is calculated…

Q: Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of…

A: Let X be a random variable that denotes the weight of the child's school bag. Then, it is provided…

Q: 3) An F-1 race has an average length of 305 kilometers with a standard deviation of 72 kilometers.…

A:

Q: The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A…

A: X~N( μ , ?)   μ=2200 , ?=625   Z-score =( x - μ )/?

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: 4. The delivery time for all food orders at a fast food restaurant have a mean of 6.7 minutes and a…

A: Let X denote the delivery time for food orders then we are given   μx=6.7 & σx=2.1 &…

Q: Find the probability that a randomly selected adult has an IQ greater than 136.4

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 101.3, SD = 20.2), then  Z = (X…

Q: An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots…

A: Given Data Population Mean,μ = 158.0 Population Standard Deviation,σ = 31.1

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard…

A:

Q: The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard…

A: given data,normal distribution μ =  1350σ  = 80probability that the sample mean of weight for is…

Q: A personal computer is used for office work at home, research, communication, personal finances,…

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.